490460256 has 144 divisors (see below), whose sum is σ = 1638720720. Its totient is φ = 137180160.

The previous prime is 490460237. The next prime is 490460273. The reversal of 490460256 is 652064094.

490460256 is a `hidden beast` number, since 49 + 0 + 4 + 602 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 490460256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35230 + ... + 47138.

It is an arithmetic number, because the mean of its divisors is an integer number (11380005).

Almost surely, 2^490460256 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 490460256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819360360).

490460256 is an abundant number, since it is smaller than the sum of its proper divisors (1148260464).

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

490460256 is a wasteful number, since it uses less digits than its factorization.

490460256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11949 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 490460256 is about 22146.3373043942. The cubic root of 490460256 is about 788.6202782773.

The spelling of 490460256 in words is "four hundred ninety million, four hundred sixty thousand, two hundred fifty-six".