478331884800 has 2592 divisors, whose sum is σ = 2277454233600. Its totient is φ = 94832640000.

The previous prime is 478331884763. The next prime is 478331884819. The reversal of 478331884800 is 8488133874.

It is a happy number.

478331884800 is a `hidden beast` number, since 4 + 7 + 83 + 3 + 1 + 88 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6737068765 + ... + 6737068835.

Almost surely, 2^478331884800 is an apocalyptic number.

478331884800 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 478331884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138727116800).

478331884800 is an abundant number, since it is smaller than the sum of its proper divisors (1799122348800).

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

478331884800 is a wasteful number, since it uses less digits than its factorization.

478331884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 478331884800 in words is "four hundred seventy-eight billion, three hundred thirty-one million, eight hundred eighty-four thousand, eight hundred".