456878954880 has 768 divisors, whose sum is σ = 1737657230400. Its totient is φ = 110100480000.

The previous prime is 456878954879. The next prime is 456878954899. The reversal of 456878954880 is 88459878654.

456878954880 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 78 + 9 + 548 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 456878954799 and 456878954808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 712759360 + ... + 712760000.

Almost surely, 2^456878954880 is an apocalyptic number.

456878954880 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 456878954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868828615200).

456878954880 is an abundant number, since it is smaller than the sum of its proper divisors (1280778275520).

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

456878954880 is a wasteful number, since it uses less digits than its factorization.

456878954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 456878954880 in words is "four hundred fifty-six billion, eight hundred seventy-eight million, nine hundred fifty-four thousand, eight hundred eighty".