256317152 has 192 divisors, whose sum is σ = 670602240. Its totient is φ = 93671424.

The previous prime is 256317137. The next prime is 256317209. The reversal of 256317152 is 251713652.

256317152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256317152² = 131396964818782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2879924 + ... + 2880012.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^256317152 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 256317152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

256317152 is an abundant number, since it is smaller than the sum of its proper divisors (414285088).

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

256317152 is a wasteful number, since it uses less digits than its factorization.

256317152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 256317152 is about 16009.9079322774. The cubic root of 256317152 is about 635.2225247761. Note that the first 3 decimals are identical.

The spelling of 256317152 in words is "two hundred fifty-six million, three hundred seventeen thousand, one hundred fifty-two".