408883122 has 48 divisors (see below), whose sum is σ = 931558680. Its totient is φ = 129427200.

The previous prime is 408883109. The next prime is 408883129. The reversal of 408883122 is 221388804.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 239909121 + 168974001 = 15489^2 + 12999^2 .

It is not an unprimeable number, because it can be changed into a prime (408883129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25422 + ... + 38262.

Almost surely, 2^408883122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408883122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465779340).

408883122 is an abundant number, since it is smaller than the sum of its proper divisors (522675558).

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

408883122 is a wasteful number, since it uses less digits than its factorization.

408883122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12939 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 408883122 is about 20220.8585871125. The cubic root of 408883122 is about 742.2206982693.

The spelling of 408883122 in words is "four hundred eight million, eight hundred eighty-three thousand, one hundred twenty-two".