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480420 = 2232517157
BaseRepresentation
bin1110101010010100100
3220102000100
41311102210
5110333140
614144100
74040433
oct1652244
9812010
10480420
112a8a46
121b2030
1313a895
14c711a
1597530
hex754a4

480420 has 72 divisors (see below), whose sum is σ = 1552824. Its totient is φ = 119808.

The previous prime is 480419. The next prime is 480427. The reversal of 480420 is 24084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 419904 = 246^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 480393 and 480402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2982 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (21567).

2480420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776412).

480420 is an abundant number, since it is smaller than the sum of its proper divisors (1072404).

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

480420 is a wasteful number, since it uses less digits than its factorization.

480420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 480420 is about 693.1233656428. The cubic root of 480420 is about 78.3201828938.

It can be divided in two parts, 480 and 420, that added together give a square (900 = 302).

The spelling of 480420 in words is "four hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 157 170 180 204 255 306 314 340 471 510 612 628 765 785 942 1020 1413 1530 1570 1884 2355 2669 2826 3060 3140 4710 5338 5652 7065 8007 9420 10676 13345 14130 16014 24021 26690 28260 32028 40035 48042 53380 80070 96084 120105 160140 240210 480420