979408801 has 16 divisors (see below), whose sum is σ = 1132811008. Its totient is φ = 829440000.

The previous prime is 979408799. The next prime is 979408819. The reversal of 979408801 is 108804979.

It is a happy number.

It is a 3-Lehmer number, since φ(979408801) divides (979408801-1)³.

It is a cyclic number.

It is not a de Polignac number, because 979408801 - 2¹ = 979408799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (979408831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201601 + ... + 206401.

It is an arithmetic number, because the mean of its divisors is an integer number (70800688).

It is a Poulet number, since it divides 2^979408800-1.

Almost surely, 2^979408801 is an apocalyptic number.

It is an amenable number.

979408801 is a deficient number, since it is larger than the sum of its proper divisors (153402207).

979408801 is a wasteful number, since it uses less digits than its factorization.

979408801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152.

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 979408801 is about 31295.5076808158. The cubic root of 979408801 is about 993.0886097307.

The spelling of 979408801 in words is "nine hundred seventy-nine million, four hundred eight thousand, eight hundred one".