409579245 has 24 divisors (see below), whose sum is σ = 714471576. Its totient is φ = 217047168.

The previous prime is 409579243. The next prime is 409579253. The reversal of 409579245 is 542975904.

It can be written as a sum of positive squares in 4 ways, for example, as 2601 + 409576644 = 51^2 + 20238^2 .

It is not a de Polignac number, because 409579245 - 2¹ = 409579243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 409579245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409579243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21922 + ... + 36051.

It is an arithmetic number, because the mean of its divisors is an integer number (29769649).

Almost surely, 2^409579245 is an apocalyptic number.

409579245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409579245 is a deficient number, since it is larger than the sum of its proper divisors (304892331).

409579245 is a wasteful number, since it uses less digits than its factorization.

409579245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58141 (or 58138 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 409579245 is about 20238.0642602004. The cubic root of 409579245 is about 742.6416693932.

The spelling of 409579245 in words is "four hundred nine million, five hundred seventy-nine thousand, two hundred forty-five".