413114120 has 16 divisors (see below), whose sum is σ = 929506860. Its totient is φ = 165245632.

The previous prime is 413114069. The next prime is 413114137. The reversal of 413114120 is 21411314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 389746564 + 23367556 = 19742^2 + 4834^2 .

It is a super-2 number, since 2×413114120² = 341326552286748800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5163887 + ... + 5163966.

Almost surely, 2^413114120 is an apocalyptic number.

413114120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413114120 is an abundant number, since it is smaller than the sum of its proper divisors (516392740).

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

413114120 is a wasteful number, since it uses less digits than its factorization.

413114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327864 (or 10327860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 413114120 is about 20325.2089780155. The cubic root of 413114120 is about 744.7720095716.

Adding to 413114120 its reverse (21411314), we get a palindrome (434525434).

The spelling of 413114120 in words is "four hundred thirteen million, one hundred fourteen thousand, one hundred twenty".