405065360 has 60 divisors (see below), whose sum is σ = 1095547068. Its totient is φ = 138878208.

The previous prime is 405065333. The next prime is 405065377. The reversal of 405065360 is 63560504.

405065360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 271986064 + 133079296 = 16492^2 + 11536^2 .

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 11 ways as a sum of consecutive naturals, for example, 47747 + ... + 55586.

Almost surely, 2^405065360 is an apocalyptic number.

405065360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405065360 is an abundant number, since it is smaller than the sum of its proper divisors (690481708).

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

405065360 is a wasteful number, since it uses less digits than its factorization.

405065360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103360 (or 103347 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 405065360 is about 20126.2356142424. The cubic root of 405065360 is about 739.9034205586.

The spelling of 405065360 in words is "four hundred five million, sixty-five thousand, three hundred sixty".