408800000 has 216 divisors, whose sum is σ = 1181611872. Its totient is φ = 138240000.

The previous prime is 408799961. The next prime is 408800017. The reversal of 408800000 is 8804.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5599964 + ... + 5600036.

Almost surely, 2^408800000 is an apocalyptic number.

408800000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590805936).

408800000 is an abundant number, since it is smaller than the sum of its proper divisors (772811872).

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

408800000 is an frugal number, since it uses more digits than its factorization.

408800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 408800000 is about 20218.8031297602. The cubic root of 408800000 is about 742.1703994213.

Adding to 408800000 its reverse (8804), we get a palindrome (408808804).

The spelling of 408800000 in words is "four hundred eight million, eight hundred thousand".