478049644800 has 2592 divisors, whose sum is σ = 2269333503360. Its totient is φ = 97542144000.

The previous prime is 478049644777. The next prime is 478049644829. The reversal of 478049644800 is 8446940874.

478049644800 is a `hidden beast` number, since 4 + 78 + 0 + 4 + 96 + 4 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4733164750 + ... + 4733164850.

Almost surely, 2^478049644800 is an apocalyptic number.

478049644800 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 478049644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134666751680).

478049644800 is an abundant number, since it is smaller than the sum of its proper divisors (1791283858560).

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

478049644800 is a wasteful number, since it uses less digits than its factorization.

478049644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 478049644800 in words is "four hundred seventy-eight billion, forty-nine million, six hundred forty-four thousand, eight hundred".