478831802400 has 864 divisors, whose sum is σ = 2024403554880. Its totient is φ = 108910448640.

The previous prime is 478831802381. The next prime is 478831802413. The reversal of 478831802400 is 4208138874.

478831802400 is a `hidden beast` number, since 478 + 83 + 1 + 80 + 24 + 0 + 0 = 666.

478831802400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 240255804 + ... + 240257796.

It is an arithmetic number, because the mean of its divisors is an integer number (2343059670).

Almost surely, 2^478831802400 is an apocalyptic number.

478831802400 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 478831802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012201777440).

478831802400 is an abundant number, since it is smaller than the sum of its proper divisors (1545571752480).

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

478831802400 is a wasteful number, since it uses less digits than its factorization.

478831802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 478831802400 in words is "four hundred seventy-eight billion, eight hundred thirty-one million, eight hundred two thousand, four hundred".