256553892 has 240 divisors, whose sum is σ = 819624960. Its totient is φ = 68428800.

The previous prime is 256553887. The next prime is 256553911. The reversal of 256553892 is 298355652.

256553892 is a `hidden beast` number, since 2 + 5 + 6 + 553 + 8 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2882584 + ... + 2882672.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2^256553892 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 256553892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409812480).

256553892 is an abundant number, since it is smaller than the sum of its proper divisors (563071068).

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

256553892 is a wasteful number, since it uses less digits than its factorization.

256553892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 256553892 is about 16017.2997724336. The cubic root of 256553892 is about 635.4180329636.

The spelling of 256553892 in words is "two hundred fifty-six million, five hundred fifty-three thousand, eight hundred ninety-two".