409982969 has 24 divisors (see below), whose sum is σ = 477906240. Its totient is φ = 350460000.

The previous prime is 409982957. The next prime is 409983023. The reversal of 409982969 is 969289904.

It is not a de Polignac number, because 409982969 - 2⁴ = 409982953 is a prime.

It is a super-2 number, since 2×409982969² = 336172069740109922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (409982669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346559 + ... + 347739.

It is an arithmetic number, because the mean of its divisors is an integer number (19912760).

Almost surely, 2^409982969 is an apocalyptic number.

It is an amenable number.

409982969 is a deficient number, since it is larger than the sum of its proper divisors (67923271).

409982969 is a wasteful number, since it uses less digits than its factorization.

409982969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 56.

The square root of 409982969 is about 20248.0361763802. The cubic root of 409982969 is about 742.8855976121.

The spelling of 409982969 in words is "four hundred nine million, nine hundred eighty-two thousand, nine hundred sixty-nine".