256604040 has 192 divisors, whose sum is σ = 1039858560. Its totient is φ = 53314560.

The previous prime is 256604021. The next prime is 256604053. The reversal of 256604040 is 40406652.

It is a happy number.

256604040 is a `hidden beast` number, since 2 + 56 + 604 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 256603995 and 256604013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23092 + ... + 32348.

It is an arithmetic number, because the mean of its divisors is an integer number (5415930).

Almost surely, 2^256604040 is an apocalyptic number.

256604040 is a gapful number since it is divisible by the number (20) 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 256604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519929280).

256604040 is an abundant number, since it is smaller than the sum of its proper divisors (783254520).

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

256604040 is a wasteful number, since it uses less digits than its factorization.

256604040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 256604040 is about 16018.8651283416. The cubic root of 256604040 is about 635.4594315008.

The spelling of 256604040 in words is "two hundred fifty-six million, six hundred four thousand, forty".