256360464 has 200 divisors, whose sum is σ = 810216000. Its totient is φ = 77946624.

The previous prime is 256360441. The next prime is 256360469. The reversal of 256360464 is 464063652.

256360464 is a `hidden beast` number, since 256 + 360 + 46 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (256360469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 713917 + ... + 714275.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^256360464 is an apocalyptic number.

256360464 is a gapful number since it is divisible by the number (24) 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 256360464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405108000).

256360464 is an abundant number, since it is smaller than the sum of its proper divisors (553855536).

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

256360464 is a wasteful number, since it uses less digits than its factorization.

256360464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 256360464 is about 16011.2605375092. The cubic root of 256360464 is about 635.2583023382.

The spelling of 256360464 in words is "two hundred fifty-six million, three hundred sixty thousand, four hundred sixty-four".