256034688 has 256 divisors, whose sum is σ = 888330240. Its totient is φ = 63406080.

The previous prime is 256034683. The next prime is 256034693. The reversal of 256034688 is 886430652.

It is an interprime number because it is at equal distance from previous prime (256034683) and next prime (256034693).

It is a super-2 number, since 2×256034688² = 131107522918514688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

256034688 is a modest number, since divided by 34688 gives 2560 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256034683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593833 + ... + 594263.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^256034688 is an apocalyptic number.

256034688 is a gapful number since it is divisible by the number (28) 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 256034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165120).

256034688 is an abundant number, since it is smaller than the sum of its proper divisors (632295552).

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

256034688 is a wasteful number, since it uses less digits than its factorization.

256034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 256034688 is about 16001.0839632820. The cubic root of 256034688 is about 634.9890985377.

The spelling of 256034688 in words is "two hundred fifty-six million, thirty-four thousand, six hundred eighty-eight".