413052120 has 96 divisors (see below), whose sum is σ = 1445698800. Its totient is φ = 101673216.

The previous prime is 413052103. The next prime is 413052139. The reversal of 413052120 is 21250314.

It is a super-2 number, since 2×413052120² = 341224107672988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413052093 and 413052102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39450 + ... + 48809.

Almost surely, 2^413052120 is an apocalyptic number.

413052120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413052120 is an abundant number, since it is smaller than the sum of its proper divisors (1032646680).

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

413052120 is a wasteful number, since it uses less digits than its factorization.

413052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88289 (or 88282 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 413052120 is about 20323.6837212155. The cubic root of 413052120 is about 744.7347493469.

The spelling of 413052120 in words is "four hundred thirteen million, fifty-two thousand, one hundred twenty".