412408320 has 80 divisors (see below), whose sum is σ = 1318442400. Its totient is φ = 109973504.

The previous prime is 412408307. The next prime is 412408363. The reversal of 412408320 is 23804214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19170 + ... + 34529.

It is an arithmetic number, because the mean of its divisors is an integer number (16480530).

Almost surely, 2^412408320 is an apocalyptic number.

412408320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412408320 is an abundant number, since it is smaller than the sum of its proper divisors (906034080).

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

412408320 is an equidigital number, since it uses as much as digits as its factorization.

412408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53725 (or 53709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 412408320 is about 20307.8388805899. The cubic root of 412408320 is about 744.3476234238.

The spelling of 412408320 in words is "four hundred twelve million, four hundred eight thousand, three hundred twenty".