413315120 has 40 divisors (see below), whose sum is σ = 961853616. Its totient is φ = 165171968.

The previous prime is 413315107. The next prime is 413315153. The reversal of 413315120 is 21513314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×413315120² = 341658776841228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413315092 and 413315101.

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, 127439 + ... + 130641.

Almost surely, 2^413315120 is an apocalyptic number.

413315120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413315120 is an abundant number, since it is smaller than the sum of its proper divisors (548538496).

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

413315120 is a wasteful number, since it uses less digits than its factorization.

413315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 413315120 is about 20330.1529753221. The cubic root of 413315120 is about 744.8927791883.

Adding to 413315120 its reverse (21513314), we get a palindrome (434828434).

The spelling of 413315120 in words is "four hundred thirteen million, three hundred fifteen thousand, one hundred twenty".