405003564 has 120 divisors (see below), whose sum is σ = 1216210688. Its totient is φ = 115123680.

The previous prime is 405003551. The next prime is 405003587. The reversal of 405003564 is 465300504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 641529 + ... + 642159.

Almost surely, 2^405003564 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 405003564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608105344).

405003564 is an abundant number, since it is smaller than the sum of its proper divisors (811207124).

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

405003564 is a wasteful number, since it uses less digits than its factorization.

405003564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 405003564 is about 20124.7003455952. The cubic root of 405003564 is about 739.8657925594.

The spelling of 405003564 in words is "four hundred five million, three thousand, five hundred sixty-four".