413432816 has 40 divisors (see below), whose sum is σ = 832111920. Its totient is φ = 198754304.

The previous prime is 413432801. The next prime is 413432839. The reversal of 413432816 is 618234314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117515 + ... + 120981.

It is an arithmetic number, because the mean of its divisors is an integer number (20802798).

Almost surely, 2^413432816 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 413432816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416055960).

413432816 is an abundant number, since it is smaller than the sum of its proper divisors (418679104).

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

413432816 is a wasteful number, since it uses less digits than its factorization.

413432816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3755 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 413432816 is about 20333.0473859675. The cubic root of 413432816 is about 744.9634779327.

The spelling of 413432816 in words is "four hundred thirteen million, four hundred thirty-two thousand, eight hundred sixteen".