413013456 has 30 divisors (see below), whose sum is σ = 1155864450. Its totient is φ = 137671104.

The previous prime is 413013449. The next prime is 413013457. The reversal of 413013456 is 654310314.

It can be written as a sum of positive squares in only one way, i.e., 395373456 + 17640000 = 19884^2 + 4200^2 .

It is a super-2 number, since 2×413013456² = 341160229674127872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413013457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1433931 + ... + 1434218.

It is an arithmetic number, because the mean of its divisors is an integer number (38528815).

Almost surely, 2^413013456 is an apocalyptic number.

It is an amenable number.

413013456 is an abundant number, since it is smaller than the sum of its proper divisors (742850994).

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

413013456 is a wasteful number, since it uses less digits than its factorization.

413013456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868163 (or 2868154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413013456 is about 20322.7324934419. The cubic root of 413013456 is about 744.7115115023.

The spelling of 413013456 in words is "four hundred thirteen million, thirteen thousand, four hundred fifty-six".