256713408 has 224 divisors, whose sum is σ = 908710400. Its totient is φ = 69424128.

The previous prime is 256713403. The next prime is 256713409. The reversal of 256713408 is 804317652.

It is a tau number, because it is divible by the number of its divisors (224).

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 (256713403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229266 + ... + 230382.

Almost surely, 2^256713408 is an apocalyptic number.

256713408 is a gapful number since it is divisible by the number (28) 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 256713408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454355200).

256713408 is an abundant number, since it is smaller than the sum of its proper divisors (651996992).

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

256713408 is a wasteful number, since it uses less digits than its factorization.

256713408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 256713408 is about 16022.2784896531. The cubic root of 256713408 is about 635.5496990529.

The spelling of 256713408 in words is "two hundred fifty-six million, seven hundred thirteen thousand, four hundred eight".