256057464 has 128 divisors (see below), whose sum is σ = 726626880. Its totient is φ = 74649600.

The previous prime is 256057441. The next prime is 256057481. The reversal of 256057464 is 464750652.

It is a super-2 number, since 2×256057464² = 131130849740222592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473034 + ... + 473574.

Almost surely, 2^256057464 is an apocalyptic number.

256057464 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 256057464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363313440).

256057464 is an abundant number, since it is smaller than the sum of its proper divisors (470569416).

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

256057464 is a wasteful number, since it uses less digits than its factorization.

256057464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 256057464 is about 16001.7956492389. The cubic root of 256057464 is about 635.0079268236.

The spelling of 256057464 in words is "two hundred fifty-six million, fifty-seven thousand, four hundred sixty-four".