409361365 has 48 divisors (see below), whose sum is σ = 599114880. Its totient is φ = 262984320.

The previous prime is 409361353. The next prime is 409361369. The reversal of 409361365 is 563163904.

It is not a de Polignac number, because 409361365 - 2⁷ = 409361237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409361369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2261575 + ... + 2261755.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2^409361365 is an apocalyptic number.

It is an amenable number.

409361365 is a deficient number, since it is larger than the sum of its proper divisors (189753515).

409361365 is a wasteful number, since it uses less digits than its factorization.

409361365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 409361365 is about 20232.6806182473. The cubic root of 409361365 is about 742.5099606791.

The spelling of 409361365 in words is "four hundred nine million, three hundred sixty-one thousand, three hundred sixty-five".