412080800 has 72 divisors (see below), whose sum is σ = 1009060416. Its totient is φ = 164330240.

The previous prime is 412080787. The next prime is 412080817. The reversal of 412080800 is 8080214.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373049 + ... + 374151.

It is an arithmetic number, because the mean of its divisors is an integer number (14014728).

Almost surely, 2^412080800 is an apocalyptic number.

412080800 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 412080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504530208).

412080800 is an abundant number, since it is smaller than the sum of its proper divisors (596979616).

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

412080800 is a wasteful number, since it uses less digits than its factorization.

412080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 412080800 is about 20299.7733977500. The cubic root of 412080800 is about 744.1505264478.

The spelling of 412080800 in words is "four hundred twelve million, eighty thousand, eight hundred".