413624442 has 32 divisors (see below), whose sum is σ = 1031376384. Its totient is φ = 107434800.

The previous prime is 413624423. The next prime is 413624461. The reversal of 413624442 is 244426314.

It is an interprime number because it is at equal distance from previous prime (413624423) and next prime (413624461).

It is a super-2 number, since 2×413624442² = 342170358039622728, which contains 22 as substring.

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, 447184 + ... + 448107.

It is an arithmetic number, because the mean of its divisors is an integer number (32230512).

Almost surely, 2^413624442 is an apocalyptic number.

413624442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

413624442 is an abundant number, since it is smaller than the sum of its proper divisors (617751942).

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

413624442 is a wasteful number, since it uses less digits than its factorization.

413624442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895314.

The product of its digits is 18432, while the sum is 30.

The square root of 413624442 is about 20337.7590210918. The cubic root of 413624442 is about 745.0785569460.

The spelling of 413624442 in words is "four hundred thirteen million, six hundred twenty-four thousand, four hundred forty-two".