256188864 has 56 divisors (see below), whose sum is σ = 679742608. Its totient is φ = 85155840.

The previous prime is 256188853. The next prime is 256188899. The reversal of 256188864 is 468881652.

It is a happy number.

256188864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256188864² = 131265468075220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74544 + ... + 77904.

Almost surely, 2^256188864 is an apocalyptic number.

256188864 is a gapful number since it is divisible by the number (24) 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 256188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339871304).

256188864 is an abundant number, since it is smaller than the sum of its proper divisors (423553744).

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

256188864 is a wasteful number, since it uses less digits than its factorization.

256188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3763 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 256188864 is about 16005.9009118512. The cubic root of 256188864 is about 635.1165297539.

The spelling of 256188864 in words is "two hundred fifty-six million, one hundred eighty-eight thousand, eight hundred sixty-four".