408221952 has 72 divisors (see below), whose sum is σ = 1150412256. Its totient is φ = 128065536.

The previous prime is 408221941. The next prime is 408221987. The reversal of 408221952 is 259122804.

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, 2578 + ... + 28689.

It is an arithmetic number, because the mean of its divisors is an integer number (15977948).

Almost surely, 2^408221952 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 408221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575206128).

408221952 is an abundant number, since it is smaller than the sum of its proper divisors (742190304).

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

408221952 is a wasteful number, since it uses less digits than its factorization.

408221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31303 (or 31289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 408221952 is about 20204.5032604120. The cubic root of 408221952 is about 741.8204218590.

The spelling of 408221952 in words is "four hundred eight million, two hundred twenty-one thousand, nine hundred fifty-two".