456251978560 has 448 divisors, whose sum is σ = 1361540136960. Its totient is φ = 142013399040.

The previous prime is 456251978549. The next prime is 456251978641. The reversal of 456251978560 is 65879152654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 456251978495 and 456251978504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617390671 + ... + 617391409.

Almost surely, 2^456251978560 is an apocalyptic number.

456251978560 is a gapful number since it is divisible by the number (40) 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 456251978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680770068480).

456251978560 is an abundant number, since it is smaller than the sum of its proper divisors (905288158400).

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

456251978560 is a wasteful number, since it uses less digits than its factorization.

456251978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 456251978560 in words is "four hundred fifty-six billion, two hundred fifty-one million, nine hundred seventy-eight thousand, five hundred sixty".