478416098304 has 264 divisors, whose sum is σ = 1435823116000. Its totient is φ = 159111143424.

The previous prime is 478416098299. The next prime is 478416098317. The reversal of 478416098304 is 403890614874.

478416098304 is a `hidden beast` number, since 478 + 4 + 160 + 9 + 8 + 3 + 0 + 4 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124165242 + ... + 124169094.

Almost surely, 2^478416098304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478416098304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717911558000).

478416098304 is an abundant number, since it is smaller than the sum of its proper divisors (957407017696).

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

478416098304 is an equidigital number, since it uses as much as digits as its factorization.

478416098304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 478416098304 in words is "four hundred seventy-eight billion, four hundred sixteen million, ninety-eight thousand, three hundred four".