256281800 has 48 divisors (see below), whose sum is σ = 630913860. Its totient is φ = 96481280.

The previous prime is 256281737. The next prime is 256281811. The reversal of 256281800 is 8182652.

It can be written as a sum of positive squares in 6 ways, for example, as 186759556 + 69522244 = 13666^2 + 8338^2 .

It is a super-2 number, since 2×256281800² = 131360722022480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34289 + ... + 41088.

Almost surely, 2^256281800 is an apocalyptic number.

256281800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256281800 is an abundant number, since it is smaller than the sum of its proper divisors (374632060).

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

256281800 is a wasteful number, since it uses less digits than its factorization.

256281800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75410 (or 75401 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 256281800 is about 16008.8038278942. The cubic root of 256281800 is about 635.1933195265.

The spelling of 256281800 in words is "two hundred fifty-six million, two hundred eighty-one thousand, eight hundred".