256332720 has 240 divisors, whose sum is σ = 940439808. Its totient is φ = 57576960.

The previous prime is 256332719. The next prime is 256332721. The reversal of 256332720 is 27233652.

It is an interprime number because it is at equal distance from previous prime (256332719) and next prime (256332721).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (256332721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834807 + ... + 835113.

Almost surely, 2^256332720 is an apocalyptic number.

256332720 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 256332720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470219904).

256332720 is an abundant number, since it is smaller than the sum of its proper divisors (684107088).

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

256332720 is a wasteful number, since it uses less digits than its factorization.

256332720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 256332720 is about 16010.3941238184. The cubic root of 256332720 is about 635.2353850731.

The spelling of 256332720 in words is "two hundred fifty-six million, three hundred thirty-two thousand, seven hundred twenty".