256945920 has 432 divisors, whose sum is σ = 1043911680. Its totient is φ = 52715520.

The previous prime is 256945901. The next prime is 256945951. The reversal of 256945920 is 29549652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3252441 + ... + 3252519.

Almost surely, 2^256945920 is an apocalyptic number.

256945920 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 256945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521955840).

256945920 is an abundant number, since it is smaller than the sum of its proper divisors (786965760).

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

256945920 is a wasteful number, since it uses less digits than its factorization.

256945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 256945920 is about 16029.5327442817. The cubic root of 256945920 is about 635.7415191079.

The spelling of 256945920 in words is "two hundred fifty-six million, nine hundred forty-five thousand, nine hundred twenty".