409257104 has 20 divisors (see below), whose sum is σ = 797524476. Its totient is φ = 203444352.

The previous prime is 409257103. The next prime is 409257139. The reversal of 409257104 is 401752904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 183656704 + 225600400 = 13552^2 + 15020^2 .

It is not an unprimeable number, because it can be changed into a prime (409257103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71159 + ... + 76694.

Almost surely, 2^409257104 is an apocalyptic number.

It is an amenable number.

409257104 is a deficient number, since it is larger than the sum of its proper divisors (388267372).

409257104 is a wasteful number, since it uses less digits than its factorization.

409257104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148034 (or 148028 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 409257104 is about 20230.1039048246. The cubic root of 409257104 is about 742.4469182502.

The spelling of 409257104 in words is "four hundred nine million, two hundred fifty-seven thousand, one hundred four".