413425824 has 96 divisors (see below), whose sum is σ = 1245315456. Its totient is φ = 117642240.

The previous prime is 413425819. The next prime is 413425841. The reversal of 413425824 is 428524314.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185034 + ... + 187254.

It is an arithmetic number, because the mean of its divisors is an integer number (12972036).

Almost surely, 2^413425824 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 413425824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622657728).

413425824 is an abundant number, since it is smaller than the sum of its proper divisors (831889632).

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

413425824 is a wasteful number, since it uses less digits than its factorization.

413425824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2510 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 413425824 is about 20332.8754483964. The cubic root of 413425824 is about 744.9592782871.

The spelling of 413425824 in words is "four hundred thirteen million, four hundred twenty-five thousand, eight hundred twenty-four".