405165660 has 96 divisors (see below), whose sum is σ = 1190590464. Its totient is φ = 102816000.

The previous prime is 405165653. The next prime is 405165697. The reversal of 405165660 is 66561504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111675 + ... + 115245.

It is an arithmetic number, because the mean of its divisors is an integer number (12401984).

Almost surely, 2^405165660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405165660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595295232).

405165660 is an abundant number, since it is smaller than the sum of its proper divisors (785424804).

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

405165660 is a wasteful number, since it uses less digits than its factorization.

405165660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 405165660 is about 20128.7272324904. The cubic root of 405165660 is about 739.9644857561.

The spelling of 405165660 in words is "four hundred five million, one hundred sixty-five thousand, six hundred sixty".