478451216880 has 320 divisors, whose sum is σ = 2028306846720. Its totient is φ = 100947907584.

The previous prime is 478451216819. The next prime is 478451216899. The reversal of 478451216880 is 88612154874.

478451216880 is a `hidden beast` number, since 47 + 8 + 4 + 512 + 1 + 6 + 8 + 80 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1020502 + ... + 1413621.

It is an arithmetic number, because the mean of its divisors is an integer number (6338458896).

Almost surely, 2^478451216880 is an apocalyptic number.

478451216880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478451216880 is an abundant number, since it is smaller than the sum of its proper divisors (1549855629840).

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

478451216880 is a wasteful number, since it uses less digits than its factorization.

478451216880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434165 (or 2434153 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 478451216880 in words is "four hundred seventy-eight billion, four hundred fifty-one million, two hundred sixteen thousand, eight hundred eighty".