405020504 has 48 divisors (see below), whose sum is σ = 877815600. Its totient is φ = 171619200.

The previous prime is 405020489. The next prime is 405020513.

It is a happy number.

405020504 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570902 + ... + 571610.

It is an arithmetic number, because the mean of its divisors is an integer number (18287825).

Almost surely, 2^405020504 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 405020504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438907800).

405020504 is an abundant number, since it is smaller than the sum of its proper divisors (472795096).

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

405020504 is a wasteful number, since it uses less digits than its factorization.

405020504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 405020504 is about 20125.1212170262. The cubic root of 405020504 is about 739.8761078199.

The spelling of 405020504 in words is "four hundred five million, twenty thousand, five hundred four".