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480200 = 235274
BaseRepresentation
bin1110101001111001000
3220101201012
41311033020
5110331300
614143052
74040000
oct1651710
9811635
10480200
112a8866
121b1a88
1313a756
14c7000
1597435
hex753c8

480200 has 60 divisors (see below), whose sum is σ = 1302465. Its totient is φ = 164640.

The previous prime is 480169. The next prime is 480203. The reversal of 480200 is 2084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

480200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 470596 + 9604 = 686^2 + 98^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=490.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (480203) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 68597 + ... + 68603.

2480200 is an apocalyptic number.

480200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480200

480200 is an abundant number, since it is smaller than the sum of its proper divisors (822265).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480200 is an equidigital number, since it uses as much as digits as its factorization.

480200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 480200 is about 692.9646455628. The cubic root of 480200 is about 78.3082259457.

Adding to 480200 its reverse (2084), we get a palindrome (482284).

The spelling of 480200 in words is "four hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2401 2450 2744 3430 4802 4900 6860 8575 9604 9800 12005 13720 17150 19208 24010 34300 48020 60025 68600 96040 120050 240100 480200