413690592 has 96 divisors (see below), whose sum is σ = 1256193792. Its totient is φ = 116757504.

The previous prime is 413690579. The next prime is 413690611. The reversal of 413690592 is 295096314.

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

It is a super-2 number, since 2×413690592² = 342279811818620928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413690592.

It is a congruent number.

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, 52068 + ... + 59484.

It is an arithmetic number, because the mean of its divisors is an integer number (13085352).

Almost surely, 2^413690592 is an apocalyptic number.

413690592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413690592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628096896).

413690592 is an abundant number, since it is smaller than the sum of its proper divisors (842503200).

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

413690592 is a wasteful number, since it uses less digits than its factorization.

413690592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 413690592 is about 20339.3852414472. The cubic root of 413690592 is about 745.1182743920.

The spelling of 413690592 in words is "four hundred thirteen million, six hundred ninety thousand, five hundred ninety-two".