405808320 has 112 divisors (see below), whose sum is σ = 1344533760. Its totient is φ = 103504896.

The previous prime is 405808279. The next prime is 405808357. The reversal of 405808320 is 23808504.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12891 + ... + 31269.

Almost surely, 2^405808320 is an apocalyptic number.

405808320 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 405808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672266880).

405808320 is an abundant number, since it is smaller than the sum of its proper divisors (938725440).

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

405808320 is a wasteful number, since it uses less digits than its factorization.

405808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18422 (or 18412 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 405808320 is about 20144.6846587381. The cubic root of 405808320 is about 740.3555145897.

The spelling of 405808320 in words is "four hundred five million, eight hundred eight thousand, three hundred twenty".