405420320 has 48 divisors (see below), whose sum is σ = 975897720. Its totient is φ = 159105024.

The previous prime is 405420317. The next prime is 405420343. The reversal of 405420320 is 23024504.

It can be written as a sum of positive squares in 4 ways, for example, as 267780496 + 137639824 = 16364^2 + 11732^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 405420292 and 405420301.

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, 15425 + ... + 32384.

Almost surely, 2^405420320 is an apocalyptic number.

405420320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405420320 is an abundant number, since it is smaller than the sum of its proper divisors (570477400).

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

405420320 is a wasteful number, since it uses less digits than its factorization.

405420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47877 (or 47869 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 405420320 is about 20135.0520237719. The cubic root of 405420320 is about 740.1194839936.

Adding to 405420320 its reverse (23024504), we get a palindrome (428444824).

The spelling of 405420320 in words is "four hundred five million, four hundred twenty thousand, three hundred twenty".