408469701825 has 72 divisors (see below), whose sum is σ = 758921217600. Its totient is φ = 217790285760.

The previous prime is 408469701797. The next prime is 408469701839. The reversal of 408469701825 is 528107964804.

It is a happy number.

It is not a de Polignac number, because 408469701825 - 2⁸ = 408469701569 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 29876091 + ... + 29889759.

Almost surely, 2^408469701825 is an apocalyptic number.

408469701825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

408469701825 is a deficient number, since it is larger than the sum of its proper divisors (350451515775).

408469701825 is a wasteful number, since it uses less digits than its factorization.

408469701825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18613 (or 18596 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 408469701825 in words is "four hundred eight billion, four hundred sixty-nine million, seven hundred one thousand, eight hundred twenty-five".