413415328 has 24 divisors (see below), whose sum is σ = 814366980. Its totient is φ = 206592000.

The previous prime is 413415311. The next prime is 413415377. The reversal of 413415328 is 823514314.

It can be written as a sum of positive squares in 2 ways, for example, as 352387984 + 61027344 = 18772^2 + 7812^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 413415328.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101328 + ... + 105328.

Almost surely, 2^413415328 is an apocalyptic number.

It is an amenable number.

413415328 is a deficient number, since it is larger than the sum of its proper divisors (400951652).

413415328 is a wasteful number, since it uses less digits than its factorization.

413415328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7232 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 413415328 is about 20332.6173425853. The cubic root of 413415328 is about 744.9529739246.

The spelling of 413415328 in words is "four hundred thirteen million, four hundred fifteen thousand, three hundred twenty-eight".