408812120 has 64 divisors (see below), whose sum is σ = 962979840. Its totient is φ = 155900800.

The previous prime is 408812119. The next prime is 408812147. The reversal of 408812120 is 21218804.

It is a self number, because there is not a number n which added to its sum of digits gives 408812120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396005 + ... + 397035.

It is an arithmetic number, because the mean of its divisors is an integer number (15046560).

Almost surely, 2^408812120 is an apocalyptic number.

408812120 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 408812120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481489920).

408812120 is an abundant number, since it is smaller than the sum of its proper divisors (554167720).

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

408812120 is a wasteful number, since it uses less digits than its factorization.

408812120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 408812120 is about 20219.1028485440. The cubic root of 408812120 is about 742.1777339095.

The spelling of 408812120 in words is "four hundred eight million, eight hundred twelve thousand, one hundred twenty".