409890393 has 48 divisors (see below), whose sum is σ = 663137280. Its totient is φ = 241862400.

The previous prime is 409890391. The next prime is 409890409. The reversal of 409890393 is 393098904.

It is not a de Polignac number, because 409890393 - 2¹ = 409890391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409890391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001973 + ... + 1002381.

It is an arithmetic number, because the mean of its divisors is an integer number (13815360).

Almost surely, 2^409890393 is an apocalyptic number.

It is an amenable number.

409890393 is a deficient number, since it is larger than the sum of its proper divisors (253246887).

409890393 is a wasteful number, since it uses less digits than its factorization.

409890393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 409890393 is about 20245.7499984565. The cubic root of 409890393 is about 742.8296777656.

The spelling of 409890393 in words is "four hundred nine million, eight hundred ninety thousand, three hundred ninety-three".