507990 has 64 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 111360.

The previous prime is 507979. The next prime is 508009. The reversal of 507990 is 99705.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

507990 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 31 ways as a sum of consecutive naturals, for example, 8581 + ... + 8639.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁵⁰⁷⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

507990 is an abundant number, since it is smaller than the sum of its proper divisors (943530).

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

507990 is a wasteful number, since it uses less digits than its factorization.

507990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 507990 is about 712.7341720445. The cubic root of 507990 is about 79.7905981976.

The spelling of 507990 in words is "five hundred seven thousand, nine hundred ninety".