476482406400 has 1728 divisors, whose sum is σ = 2293394463360. Its totient is φ = 91304755200.

The previous prime is 476482406371. The next prime is 476482406401. The reversal of 476482406400 is 4604284674.

476482406400 is a `hidden beast` number, since 4 + 76 + 482 + 40 + 64 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (476482406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 461260284 + ... + 461261316.

It is an arithmetic number, because the mean of its divisors is an integer number (1327195870).

Almost surely, 2^476482406400 is an apocalyptic number.

476482406400 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 476482406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146697231680).

476482406400 is an abundant number, since it is smaller than the sum of its proper divisors (1816912056960).

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

476482406400 is a wasteful number, since it uses less digits than its factorization.

476482406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 476482406400 in words is "four hundred seventy-six billion, four hundred eighty-two million, four hundred six thousand, four hundred".