405563564 has 72 divisors (see below), whose sum is σ = 849354240. Its totient is φ = 165937824.

The previous prime is 405563533. The next prime is 405563591. The reversal of 405563564 is 465365504.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4886267 + ... + 4886349.

Almost surely, 2^405563564 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 405563564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424677120).

405563564 is an abundant number, since it is smaller than the sum of its proper divisors (443790676).

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

405563564 is a wasteful number, since it uses less digits than its factorization.

405563564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 405563564 is about 20138.6087900828. The cubic root of 405563564 is about 740.2066406114.

The spelling of 405563564 in words is "four hundred five million, five hundred sixty-three thousand, five hundred sixty-four".