256152800 has 72 divisors (see below), whose sum is σ = 628866000. Its totient is φ = 101882880.

The previous prime is 256152797. The next prime is 256152893. The reversal of 256152800 is 8251652.

It is a super-2 number, since 2×256152800² = 131228513895680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158396 + ... + 160004.

It is an arithmetic number, because the mean of its divisors is an integer number (8734250).

Almost surely, 2^256152800 is an apocalyptic number.

256152800 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 256152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314433000).

256152800 is an abundant number, since it is smaller than the sum of its proper divisors (372713200).

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

256152800 is a wasteful number, since it uses less digits than its factorization.

256152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 256152800 is about 16004.7742876930. The cubic root of 256152800 is about 635.0867263281.

The spelling of 256152800 in words is "two hundred fifty-six million, one hundred fifty-two thousand, eight hundred".