413738400625 has 45 divisors (see below), whose sum is σ = 568524039853. Its totient is φ = 300772010000.

The previous prime is 413738400613. The next prime is 413738400631. The reversal of 413738400625 is 526004837314.

The square root of 413738400625 is 643225.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 32437090609 + 381301310016 = 180103^2 + 617496^2 .

It is not a de Polignac number, because 413738400625 - 2²⁷ = 413604182897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 176885706 + ... + 176888044.

Almost surely, 2^413738400625 is an apocalyptic number.

413738400625 is the 643225-th square number.

413738400625 is the 321613-rd centered octagonal number.

It is an amenable number.

413738400625 is a deficient number, since it is larger than the sum of its proper divisors (154785639228).

413738400625 is an frugal number, since it uses more digits than its factorization.

413738400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 413738400625 in words is "four hundred thirteen billion, seven hundred thirty-eight million, four hundred thousand, six hundred twenty-five".