405504008 has 72 divisors (see below), whose sum is σ = 957878730. Its totient is φ = 160392960.

The previous prime is 405503993. The next prime is 405504019. The reversal of 405504008 is 800405504.

It can be written as a sum of positive squares in 3 ways, for example, as 117115684 + 288388324 = 10822^2 + 16982^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63188 + ... + 69308.

Almost surely, 2^405504008 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 405504008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478939365).

405504008 is an abundant number, since it is smaller than the sum of its proper divisors (552374722).

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

405504008 is a wasteful number, since it uses less digits than its factorization.

405504008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 405504008 is about 20137.1300835049. The cubic root of 405504008 is about 740.1704063367.

The spelling of 405504008 in words is "four hundred five million, five hundred four thousand, eight".