409361364 has 30 divisors (see below), whose sum is σ = 1070152314. Its totient is φ = 136453680.

The previous prime is 409361353. The next prime is 409361369. The reversal of 409361364 is 463163904.

It can be written as a sum of positive squares in only one way, i.e., 395612100 + 13749264 = 19890^2 + 3708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 631407 + ... + 632054.

Almost surely, 2^409361364 is an apocalyptic number.

It is an amenable number.

409361364 is an abundant number, since it is smaller than the sum of its proper divisors (660790950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409361364 is a wasteful number, since it uses less digits than its factorization.

409361364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263477 (or 1263466 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 409361364 is about 20232.6805935348. The cubic root of 409361364 is about 742.5099600745.

The spelling of 409361364 in words is "four hundred nine million, three hundred sixty-one thousand, three hundred sixty-four".