408974224 has 40 divisors (see below), whose sum is σ = 836196480. Its totient is φ = 193383168.

The previous prime is 408974207. The next prime is 408974243. The reversal of 408974224 is 422479804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26509 + ... + 38995.

It is an arithmetic number, because the mean of its divisors is an integer number (20904912).

Almost surely, 2^408974224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408974224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418098240).

408974224 is an abundant number, since it is smaller than the sum of its proper divisors (427222256).

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

408974224 is a wasteful number, since it uses less digits than its factorization.

408974224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12607 (or 12601 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 408974224 is about 20223.1111355301. Note that the first 4 decimals coincide. The cubic root of 408974224 is about 742.2758181517.

The spelling of 408974224 in words is "four hundred eight million, nine hundred seventy-four thousand, two hundred twenty-four".