413332704 has 36 divisors (see below), whose sum is σ = 1175415696. Its totient is φ = 137777472.

The previous prime is 413332697. The next prime is 413332721. The reversal of 413332704 is 407233314.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717304 + ... + 717879.

It is an arithmetic number, because the mean of its divisors is an integer number (32650436).

Almost surely, 2^413332704 is an apocalyptic number.

It is an amenable number.

413332704 is an abundant number, since it is smaller than the sum of its proper divisors (762082992).

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

413332704 is a wasteful number, since it uses less digits than its factorization.

413332704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435199 (or 1435188 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 413332704 is about 20330.5854318069. The cubic root of 413332704 is about 744.9033425642.

The spelling of 413332704 in words is "four hundred thirteen million, three hundred thirty-two thousand, seven hundred four".