256761900 has 90 divisors (see below), whose sum is σ = 832346900. Its totient is φ = 68467680.

The previous prime is 256761859. The next prime is 256761913. The reversal of 256761900 is 9167652.

256761900 is a `hidden beast` number, since 2 + 567 + 6 + 1 + 90 + 0 = 666.

256761900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×256761900² = 131853346583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7750 + ... + 23949.

Almost surely, 2^256761900 is an apocalyptic number.

256761900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256761900 is an abundant number, since it is smaller than the sum of its proper divisors (575585000).

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

256761900 is a wasteful number, since it uses less digits than its factorization.

256761900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31725 (or 31709 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 256761900 is about 16023.7916861147. The cubic root of 256761900 is about 635.5897140200.

The spelling of 256761900 in words is "two hundred fifty-six million, seven hundred sixty-one thousand, nine hundred".