256439580480 has 224 divisors, whose sum is σ = 910216924800. Its totient is φ = 67963981824.

The previous prime is 256439580479. The next prime is 256439580499. The reversal of 256439580480 is 84085934652.

256439580480 is a `hidden beast` number, since 2 + 56 + 4 + 3 + 9 + 580 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×256439580480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317276 + ... + 1499364.

Almost surely, 2^256439580480 is an apocalyptic number.

256439580480 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 256439580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455108462400).

256439580480 is an abundant number, since it is smaller than the sum of its proper divisors (653777344320).

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

256439580480 is a wasteful number, since it uses less digits than its factorization.

256439580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182278 (or 182262 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 256439580480 in words is "two hundred fifty-six billion, four hundred thirty-nine million, five hundred eighty thousand, four hundred eighty".