256958352 has 240 divisors, whose sum is σ = 876432000. Its totient is φ = 71850240.

The previous prime is 256958327. The next prime is 256958389. The reversal of 256958352 is 253859652.

256958352 is a `hidden beast` number, since 2 + 5 + 69 + 583 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 256958298 and 256958307.

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, 1291149 + ... + 1291347.

It is an arithmetic number, because the mean of its divisors is an integer number (3651800).

Almost surely, 2^256958352 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 256958352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438216000).

256958352 is an abundant number, since it is smaller than the sum of its proper divisors (619473648).

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

256958352 is a wasteful number, since it uses less digits than its factorization.

256958352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

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

The square root of 256958352 is about 16029.9205238204. The cubic root of 256958352 is about 635.7517721229.

The spelling of 256958352 in words is "two hundred fifty-six million, nine hundred fifty-eight thousand, three hundred fifty-two".