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490600 = 235211223
BaseRepresentation
bin1110111110001101000
3220220222101
41313301220
5111144400
614303144
74112215
oct1676150
9826871
10490600
11305660
121b7ab4
131423c6
14cab0c
159a56a
hex77c68

490600 has 48 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 177600.

The previous prime is 490591. The next prime is 490619. The reversal of 490600 is 6094.

It is a happy number.

It is a zygodrome in base 5.

It is an unprimeable number.

490600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2089 + ... + 2311.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2490600 is an apocalyptic number.

490600 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 490600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

490600 is an abundant number, since it is smaller than the sum of its proper divisors (759320).

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

490600 is a wasteful number, since it uses less digits than its factorization.

490600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 490600 is about 700.4284403135. The cubic root of 490600 is about 78.8695170168.

Adding to 490600 its reverse (6094), we get a palindrome (496694).

The spelling of 490600 in words is "four hundred ninety thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 223 275 440 446 550 892 1100 1115 1784 2200 2230 2453 4460 4906 5575 8920 9812 11150 12265 19624 22300 24530 44600 49060 61325 98120 122650 245300 490600