408289050625 has 45 divisors (see below), whose sum is σ = 519939912063. Its totient is φ = 320509860000.

The previous prime is 408289050601. The next prime is 408289050667. The reversal of 408289050625 is 526050982804.

It is a happy number.

The square root of 408289050625 is 638975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 404016598129 + 4272452496 = 635623^2 + 65364^2 .

It is not a de Polignac number, because 408289050625 - 2⁵ = 408289050593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 974436666 + ... + 974437084.

Almost surely, 2^408289050625 is an apocalyptic number.

408289050625 is the 638975-th square number.

408289050625 is the 319488-th centered octagonal number.

It is an amenable number.

408289050625 is a deficient number, since it is larger than the sum of its proper divisors (111650861438).

408289050625 is an frugal number, since it uses more digits than its factorization.

408289050625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 408289050625 by its sum of digits (49), we get a square (20006163480625 = 4472825²).

The spelling of 408289050625 in words is "four hundred eight billion, two hundred eighty-nine million, fifty thousand, six hundred twenty-five".