405726564 has 24 divisors (see below), whose sum is σ = 947066400. Its totient is φ = 135189184.

The previous prime is 405726527. The next prime is 405726569. The reversal of 405726564 is 465627504.

It is a super-2 number, since 2×405726564² = 329228089470492192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405726569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36487 + ... + 46289.

It is an arithmetic number, because the mean of its divisors is an integer number (39461100).

Almost surely, 2^405726564 is an apocalyptic number.

It is an amenable number.

405726564 is an abundant number, since it is smaller than the sum of its proper divisors (541339836).

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

405726564 is a wasteful number, since it uses less digits than its factorization.

405726564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13259 (or 13257 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 405726564 is about 20142.6553363751. The cubic root of 405726564 is about 740.3057927812.

The spelling of 405726564 in words is "four hundred five million, seven hundred twenty-six thousand, five hundred sixty-four".