256508207424 has 504 divisors, whose sum is σ = 898006636800. Its totient is φ = 69707796480.

The previous prime is 256508207419. The next prime is 256508207437. The reversal of 256508207424 is 424702805652.

256508207424 is a `hidden beast` number, since 2 + 56 + 508 + 2 + 0 + 74 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 256508207424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51619212 + ... + 51624180.

It is an arithmetic number, because the mean of its divisors is an integer number (1781759200).

Almost surely, 2^256508207424 is an apocalyptic number.

256508207424 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 256508207424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449003318400).

256508207424 is an abundant number, since it is smaller than the sum of its proper divisors (641498429376).

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

256508207424 is a wasteful number, since it uses less digits than its factorization.

256508207424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 256508207424 in words is "two hundred fifty-six billion, five hundred eight million, two hundred seven thousand, four hundred twenty-four".