405165264 has 160 divisors (see below), whose sum is σ = 1267537920. Its totient is φ = 109057536.

The previous prime is 405165259. The next prime is 405165269. The reversal of 405165264 is 462561504.

It is an interprime number because it is at equal distance from previous prime (405165259) and next prime (405165269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405165269) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 418509 + ... + 419475.

It is an arithmetic number, because the mean of its divisors is an integer number (7922112).

Almost surely, 2^405165264 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 405165264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633768960).

405165264 is an abundant number, since it is smaller than the sum of its proper divisors (862372656).

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

405165264 is a wasteful number, since it uses less digits than its factorization.

405165264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 405165264 is about 20128.7173958005. The cubic root of 405165264 is about 739.9642446810.

The spelling of 405165264 in words is "four hundred five million, one hundred sixty-five thousand, two hundred sixty-four".