408578820 has 96 divisors (see below), whose sum is σ = 1240538880. Its totient is φ = 99878400.

The previous prime is 408578813. The next prime is 408578843. The reversal of 408578820 is 28875804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116046 + ... + 119514.

It is an arithmetic number, because the mean of its divisors is an integer number (12922280).

Almost surely, 2^408578820 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 408578820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620269440).

408578820 is an abundant number, since it is smaller than the sum of its proper divisors (831960060).

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

408578820 is a wasteful number, since it uses less digits than its factorization.

408578820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 408578820 is about 20213.3327286719. The cubic root of 408578820 is about 742.0365255933.

The spelling of 408578820 in words is "four hundred eight million, five hundred seventy-eight thousand, eight hundred twenty".