476717472 has 432 divisors, whose sum is σ = 1788145632. Its totient is φ = 119024640.

The previous prime is 476717471. The next prime is 476717477. The reversal of 476717472 is 274717674.

476717472 is a `hidden beast` number, since 476 + 7 + 174 + 7 + 2 = 666.

It is a super-2 number, since 2×476717472² = 454519096220141568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (476717471) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5743543 + ... + 5743625.

It is an arithmetic number, because the mean of its divisors is an integer number (4139226).

Almost surely, 2^476717472 is an apocalyptic number.

476717472 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 476717472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894072816).

476717472 is an abundant number, since it is smaller than the sum of its proper divisors (1311428160).

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

476717472 is a wasteful number, since it uses less digits than its factorization.

476717472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 476717472 is about 21833.8606755654. The cubic root of 476717472 is about 781.1846299053.

The spelling of 476717472 in words is "four hundred seventy-six million, seven hundred seventeen thousand, four hundred seventy-two".