405160064 has 32 divisors (see below), whose sum is σ = 828979500. Its totient is φ = 197102592.

The previous prime is 405160051. The next prime is 405160081. The reversal of 405160064 is 460061504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 400320064 + 4840000 = 20008^2 + 2200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38039 + ... + 47510.

Almost surely, 2^405160064 is an apocalyptic number.

It is an amenable number.

405160064 is an abundant number, since it is smaller than the sum of its proper divisors (423819436).

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

405160064 is an equidigital number, since it uses as much as digits as its factorization.

405160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85600 (or 85588 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 405160064 is about 20128.5882266989. The cubic root of 405160064 is about 739.9610790340.

The spelling of 405160064 in words is "four hundred five million, one hundred sixty thousand, sixty-four".