409922244 has 36 divisors (see below), whose sum is σ = 1043160300. Its totient is φ = 135721920.

The previous prime is 409922213. The next prime is 409922273. The reversal of 409922244 is 442229904.

409922244 is a `hidden beast` number, since 409 + 9 + 2 + 2 + 244 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30140100 + 379782144 = 5490^2 + 19488^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×409922244² = 336072492251991072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 409922199 and 409922208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32847 + ... + 43574.

It is an arithmetic number, because the mean of its divisors is an integer number (28976675).

Almost surely, 2^409922244 is an apocalyptic number.

It is an amenable number.

409922244 is an abundant number, since it is smaller than the sum of its proper divisors (633238056).

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

409922244 is a wasteful number, since it uses less digits than its factorization.

409922244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76580 (or 76575 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 409922244 is about 20246.5365927114. The cubic root of 409922244 is about 742.8489180760.

The spelling of 409922244 in words is "four hundred nine million, nine hundred twenty-two thousand, two hundred forty-four".