413130120 has 64 divisors (see below), whose sum is σ = 1334733120. Its totient is φ = 101693184.

The previous prime is 413130119. The next prime is 413130127. The reversal of 413130120 is 21031314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 413130120.

It is not an unprimeable number, because it can be changed into a prime (413130127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130854 + ... + 133973.

It is an arithmetic number, because the mean of its divisors is an integer number (20855205).

Almost surely, 2^413130120 is an apocalyptic number.

413130120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413130120 is an abundant number, since it is smaller than the sum of its proper divisors (921603000).

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

413130120 is a wasteful number, since it uses less digits than its factorization.

413130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264854 (or 264850 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413130120 is about 20325.6025740936. The cubic root of 413130120 is about 744.7816245082.

Adding to 413130120 its reverse (21031314), we get a palindrome (434161434).

The spelling of 413130120 in words is "four hundred thirteen million, one hundred thirty thousand, one hundred twenty".