256367520 has 144 divisors (see below), whose sum is σ = 903232512. Its totient is φ = 66147840.

The previous prime is 256367479. The next prime is 256367537. The reversal of 256367520 is 25763652.

It is a happy number.

256367520 is a `hidden beast` number, since 2 + 563 + 6 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41769 + ... + 47511.

It is an arithmetic number, because the mean of its divisors is an integer number (6272448).

Almost surely, 2^256367520 is an apocalyptic number.

256367520 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 256367520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451616256).

256367520 is an abundant number, since it is smaller than the sum of its proper divisors (646864992).

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

256367520 is a wasteful number, since it uses less digits than its factorization.

256367520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 256367520 is about 16011.4808809179. The cubic root of 256367520 is about 635.2641305139.

The spelling of 256367520 in words is "two hundred fifty-six million, three hundred sixty-seven thousand, five hundred twenty".