256995900 has 324 divisors, whose sum is σ = 980218512. Its totient is φ = 55157760.

The previous prime is 256995899. The next prime is 256995911. The reversal of 256995900 is 9599652.

256995900 is a `hidden beast` number, since 2 + 56 + 9 + 9 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2274244 + ... + 2274356.

Almost surely, 2^256995900 is an apocalyptic number.

256995900 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 256995900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490109256).

256995900 is an abundant number, since it is smaller than the sum of its proper divisors (723222612).

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

256995900 is a wasteful number, since it uses less digits than its factorization.

256995900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 256995900 is about 16031.0916658848. The cubic root of 256995900 is about 635.7827369916.

The spelling of 256995900 in words is "two hundred fifty-six million, nine hundred ninety-five thousand, nine hundred".