256852720 has 40 divisors (see below), whose sum is σ = 598109040. Its totient is φ = 102581760.

The previous prime is 256852693. The next prime is 256852721. The reversal of 256852720 is 27258652.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 256852720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256852721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58771 + ... + 62989.

It is an arithmetic number, because the mean of its divisors is an integer number (14952726).

Almost surely, 2^256852720 is an apocalyptic number.

256852720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256852720 is an abundant number, since it is smaller than the sum of its proper divisors (341256320).

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

256852720 is a wasteful number, since it uses less digits than its factorization.

256852720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 256852720 is about 16026.6253465912. The cubic root of 256852720 is about 635.6646439495.

The spelling of 256852720 in words is "two hundred fifty-six million, eight hundred fifty-two thousand, seven hundred twenty".