409904325 has 36 divisors (see below), whose sum is σ = 745169568. Its totient is φ = 215344800.

The previous prime is 409904269. The next prime is 409904393. The reversal of 409904325 is 523409904.

It is not a de Polignac number, because 409904325 - 2⁷ = 409904197 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 409904325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1480 + ... + 28670.

Almost surely, 2^409904325 is an apocalyptic number.

409904325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409904325 is a deficient number, since it is larger than the sum of its proper divisors (335265243).

409904325 is a wasteful number, since it uses less digits than its factorization.

409904325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27274 (or 27266 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 409904325 is about 20246.0940677455. The cubic root of 409904325 is about 742.8380938251.

The spelling of 409904325 in words is "four hundred nine million, nine hundred four thousand, three hundred twenty-five".