413689920 has 112 divisors (see below), whose sum is σ = 1501127808. Its totient is φ = 94556160.

The previous prime is 413689919. The next prime is 413689931. The reversal of 413689920 is 29986314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×413689920² = 342278699819212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 24061 + ... + 37500.

Almost surely, 2^413689920 is an apocalyptic number.

413689920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413689920 is an abundant number, since it is smaller than the sum of its proper divisors (1087437888).

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

413689920 is a wasteful number, since it uses less digits than its factorization.

413689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61588 (or 61578 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 413689920 is about 20339.3687217672. The cubic root of 413689920 is about 745.1178709345.

The spelling of 413689920 in words is "four hundred thirteen million, six hundred eighty-nine thousand, nine hundred twenty".