256318920 has 288 divisors, whose sum is σ = 986618880. Its totient is φ = 57208320.

The previous prime is 256318901. The next prime is 256318963. The reversal of 256318920 is 29813652.

256318920 is a `hidden beast` number, since 2 + 563 + 1 + 8 + 92 + 0 = 666.

256318920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 669049 + ... + 669431.

It is an arithmetic number, because the mean of its divisors is an integer number (3425760).

Almost surely, 2^256318920 is an apocalyptic number.

256318920 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 256318920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493309440).

256318920 is an abundant number, since it is smaller than the sum of its proper divisors (730299960).

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

256318920 is a wasteful number, since it uses less digits than its factorization.

256318920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 256318920 is about 16009.9631479901. The cubic root of 256318920 is about 635.2239852986.

The spelling of 256318920 in words is "two hundred fifty-six million, three hundred eighteen thousand, nine hundred twenty".