256461496320 has 448 divisors, whose sum is σ = 865601178624. Its totient is φ = 64707624960.

The previous prime is 256461496279. The next prime is 256461496363. The reversal of 256461496320 is 23694164652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256461496320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291102280 + ... + 291103160.

It is an arithmetic number, because the mean of its divisors is an integer number (1932145488).

Almost surely, 2^256461496320 is an apocalyptic number.

256461496320 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 256461496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432800589312).

256461496320 is an abundant number, since it is smaller than the sum of its proper divisors (609139682304).

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

256461496320 is a wasteful number, since it uses less digits than its factorization.

256461496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 256461496320 in words is "two hundred fifty-six billion, four hundred sixty-one million, four hundred ninety-six thousand, three hundred twenty".