476458647552 has 576 divisors, whose sum is σ = 1505917163520. Its totient is φ = 148635648000.

The previous prime is 476458647547. The next prime is 476458647571. The reversal of 476458647552 is 255746854674.

476458647552 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 586 + 47 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (225792000) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 476458647552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4717412302 + ... + 4717412402.

It is an arithmetic number, because the mean of its divisors is an integer number (2614439520).

Almost surely, 2^476458647552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476458647552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752958581760).

476458647552 is an abundant number, since it is smaller than the sum of its proper divisors (1029458515968).

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

476458647552 is an equidigital number, since it uses as much as digits as its factorization.

476458647552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 63.

The spelling of 476458647552 in words is "four hundred seventy-six billion, four hundred fifty-eight million, six hundred forty-seven thousand, five hundred fifty-two".