404960256 has 176 divisors, whose sum is σ = 1219684480. Its totient is φ = 132710400.

The previous prime is 404960249. The next prime is 404960279. The reversal of 404960256 is 652069404.

404960256 is a `hidden beast` number, since 4 + 0 + 49 + 602 + 5 + 6 = 666.

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 404960256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2681781 + ... + 2681931.

Almost surely, 2^404960256 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 404960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609842240).

404960256 is an abundant number, since it is smaller than the sum of its proper divisors (814724224).

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

404960256 is a wasteful number, since it uses less digits than its factorization.

404960256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

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

The square root of 404960256 is about 20123.6243256527. The cubic root of 404960256 is about 739.8394197463.

The spelling of 404960256 in words is "four hundred four million, nine hundred sixty thousand, two hundred fifty-six".