409520405 has 32 divisors (see below), whose sum is σ = 589068288. Its totient is φ = 267220800.

The previous prime is 409520399. The next prime is 409520411. The reversal of 409520405 is 504025904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409520399) and next prime (409520411).

It is not a de Polignac number, because 409520405 - 2⁸ = 409520149 is a prime.

It is a super-2 number, since 2×409520405² = 335413924222728050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168650 + ... + 171060.

It is an arithmetic number, because the mean of its divisors is an integer number (18408384).

Almost surely, 2^409520405 is an apocalyptic number.

It is an amenable number.

409520405 is a deficient number, since it is larger than the sum of its proper divisors (179547883).

409520405 is a wasteful number, since it uses less digits than its factorization.

409520405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 409520405 is about 20236.6105116445. The cubic root of 409520405 is about 742.6061051493.

The spelling of 409520405 in words is "four hundred nine million, five hundred twenty thousand, four hundred five".