405382320 has 320 divisors, whose sum is σ = 1620372480. Its totient is φ = 92378880.

The previous prime is 405382297. The next prime is 405382331. The reversal of 405382320 is 23283504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224555 + ... + 1224885.

It is an arithmetic number, because the mean of its divisors is an integer number (5063664).

Almost surely, 2^405382320 is an apocalyptic number.

405382320 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 405382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810186240).

405382320 is an abundant number, since it is smaller than the sum of its proper divisors (1214990160).

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

405382320 is an equidigital number, since it uses as much as digits as its factorization.

405382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 405382320 is about 20134.1083736032. The cubic root of 405382320 is about 740.0963594997.

The spelling of 405382320 in words is "four hundred five million, three hundred eighty-two thousand, three hundred twenty".