476684352 has 196 divisors, whose sum is σ = 1504155996. Its totient is φ = 149299200.

The previous prime is 476684321. The next prime is 476684353. The reversal of 476684352 is 253486674.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 90326016 = 19656^2 + 9504^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 476684298 and 476684307.

It is not an unprimeable number, because it can be changed into a prime (476684353) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 792852 + ... + 793452.

Almost surely, 2^476684352 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 476684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752077998).

476684352 is an abundant number, since it is smaller than the sum of its proper divisors (1027471644).

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

476684352 is an equidigital number, since it uses as much as digits as its factorization.

476684352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 623 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 476684352 is about 21833.1022074281. The cubic root of 476684352 is about 781.1665385230.

The spelling of 476684352 in words is "four hundred seventy-six million, six hundred eighty-four thousand, three hundred fifty-two".