476344512 has 336 divisors, whose sum is σ = 1670336512. Its totient is φ = 126904320.

The previous prime is 476344493. The next prime is 476344571. The reversal of 476344512 is 215443674.

476344512 is a `hidden beast` number, since 4 + 7 + 634 + 4 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×476344512² = 453808188225036288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4624653 + ... + 4624755.

Almost surely, 2^476344512 is an apocalyptic number.

476344512 is a gapful number since it is divisible by the number (42) 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 476344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835168256).

476344512 is an abundant number, since it is smaller than the sum of its proper divisors (1193992000).

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

476344512 is a wasteful number, since it uses less digits than its factorization.

476344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 476344512 is about 21825.3181420111. The cubic root of 476344512 is about 780.9808567768.

The spelling of 476344512 in words is "four hundred seventy-six million, three hundred forty-four thousand, five hundred twelve".