256596480 has 480 divisors, whose sum is σ = 1067324544. Its totient is φ = 55738368.

The previous prime is 256596469. The next prime is 256596481. The reversal of 256596480 is 84695652.

256596480 is a `hidden beast` number, since 2 + 56 + 596 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256596481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5967339 + ... + 5967381.

Almost surely, 2^256596480 is an apocalyptic number.

256596480 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 256596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533662272).

256596480 is an abundant number, since it is smaller than the sum of its proper divisors (810728064).

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

256596480 is a wasteful number, since it uses less digits than its factorization.

256596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 256596480 is about 16018.6291548309. The cubic root of 256596480 is about 635.4531908606.

The spelling of 256596480 in words is "two hundred fifty-six million, five hundred ninety-six thousand, four hundred eighty".