409630401 has 12 divisors (see below), whose sum is σ = 593254480. Its totient is φ = 272364120.

The previous prime is 409630399. The next prime is 409630439. The reversal of 409630401 is 104036904.

It is not a de Polignac number, because 409630401 - 2¹ = 409630399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409630201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56635 + ... + 63456.

Almost surely, 2^409630401 is an apocalyptic number.

It is an amenable number.

409630401 is a deficient number, since it is larger than the sum of its proper divisors (183624079).

409630401 is a wasteful number, since it uses less digits than its factorization.

409630401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120476 (or 120473 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 409630401 is about 20239.3280767915. The cubic root of 409630401 is about 742.6725864837.

The spelling of 409630401 in words is "four hundred nine million, six hundred thirty thousand, four hundred one".