256228920 has 256 divisors, whose sum is σ = 903312000. Its totient is φ = 65318400.

The previous prime is 256228883. The next prime is 256228939. The reversal of 256228920 is 29822652.

256228920 is a `hidden beast` number, since 2 + 5 + 622 + 8 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2536870 + ... + 2536970.

Almost surely, 2^256228920 is an apocalyptic number.

256228920 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 256228920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451656000).

256228920 is an abundant number, since it is smaller than the sum of its proper divisors (647083080).

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

256228920 is a wasteful number, since it uses less digits than its factorization.

256228920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 256228920 is about 16007.1521514603. The cubic root of 256228920 is about 635.1496289053.

The spelling of 256228920 in words is "two hundred fifty-six million, two hundred twenty-eight thousand, nine hundred twenty".