900504 has 64 divisors (see below), whose sum is σ = 2736000. Its totient is φ = 272160.

The previous prime is 900491. The next prime is 900511. The reversal of 900504 is 405009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

900504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2187 + ... + 2565.

It is an arithmetic number, because the mean of its divisors is an integer number (42750).

2⁹⁰⁰⁵⁰⁴ 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 900504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368000).

900504 is an abundant number, since it is smaller than the sum of its proper divisors (1835496).

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

900504 is a wasteful number, since it uses less digits than its factorization.

900504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 900504 is about 948.9488921960. The cubic root of 900504 is about 96.5669575659.

The spelling of 900504 in words is "nine hundred thousand, five hundred four".