413052520 has 32 divisors (see below), whose sum is σ = 929970720. Its totient is φ = 165113920.

The previous prime is 413052503. The next prime is 413052547. The reversal of 413052520 is 25250314.

It is a super-2 number, since 2×413052520² = 341224768556700800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413052491 and 413052500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94299 + ... + 98581.

It is an arithmetic number, because the mean of its divisors is an integer number (29061585).

Almost surely, 2^413052520 is an apocalyptic number.

413052520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413052520 is an abundant number, since it is smaller than the sum of its proper divisors (516918200).

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

413052520 is a wasteful number, since it uses less digits than its factorization.

413052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 413052520 is about 20323.6935619488. The cubic root of 413052520 is about 744.7349897474.

The spelling of 413052520 in words is "four hundred thirteen million, fifty-two thousand, five hundred twenty".