476563046400 has 1632 divisors, whose sum is σ = 2132367884800. Its totient is φ = 103195607040.

The previous prime is 476563046389. The next prime is 476563046431. The reversal of 476563046400 is 4640365674.

It is a happy number.

476563046400 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 630 + 4 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×476563046400² (a number of 24 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 25082265591 + ... + 25082265609.

Almost surely, 2^476563046400 is an apocalyptic number.

476563046400 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 476563046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066183942400).

476563046400 is an abundant number, since it is smaller than the sum of its proper divisors (1655804838400).

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

476563046400 is an frugal number, since it uses more digits than its factorization.

476563046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 476563046400 in words is "four hundred seventy-six billion, five hundred sixty-three million, forty-six thousand, four hundred".