408900 has 72 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 103040.

The previous prime is 408869. The next prime is 408911. The reversal of 408900 is 9804.

408900 = T₁₉ + T₂₀ + ... + T₁₃₄.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8677 + ... + 8723.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁴⁰⁸⁹⁰⁰ 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 408900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

408900 is an abundant number, since it is smaller than the sum of its proper divisors (841020).

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

408900 is a wasteful number, since it uses less digits than its factorization.

408900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 408900 is about 639.4528911499. The cubic root of 408900 is about 74.2230910665.

The spelling of 408900 in words is "four hundred eight thousand, nine hundred".