408820900 has 18 divisors (see below), whose sum is σ = 887141570. Its totient is φ = 163528320.

The previous prime is 408820897. The next prime is 408820903. The reversal of 408820900 is 9028804.

It is an interprime number because it is at equal distance from previous prime (408820897) and next prime (408820903).

It can be written as a sum of positive squares in 3 ways, for example, as 92621376 + 316199524 = 9624^2 + 17782^2 .

It is not an unprimeable number, because it can be changed into a prime (408820903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2044005 + ... + 2044204.

Almost surely, 2^408820900 is an apocalyptic number.

It is an amenable number.

408820900 is an abundant number, since it is smaller than the sum of its proper divisors (478320670).

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

408820900 is a wasteful number, since it uses less digits than its factorization.

408820900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088223 (or 4088216 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 408820900 is about 20219.3199687823. The cubic root of 408820900 is about 742.1830470869.

The spelling of 408820900 in words is "four hundred eight million, eight hundred twenty thousand, nine hundred".