405505320 has 64 divisors (see below), whose sum is σ = 1327112640. Its totient is φ = 98304000.

The previous prime is 405505319. The next prime is 405505339. The reversal of 405505320 is 23505504.

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

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 15 ways as a sum of consecutive naturals, for example, 152281 + ... + 154920.

It is an arithmetic number, because the mean of its divisors is an integer number (20736135).

Almost surely, 2^405505320 is an apocalyptic number.

405505320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405505320 is an abundant number, since it is smaller than the sum of its proper divisors (921607320).

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

405505320 is a wasteful number, since it uses less digits than its factorization.

405505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307226 (or 307222 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 405505320 is about 20137.1626601167. The cubic root of 405505320 is about 740.1712046047.

The spelling of 405505320 in words is "four hundred five million, five hundred five thousand, three hundred twenty".