507990000 has 400 divisors, whose sum is σ = 1952375040. Its totient is φ = 111360000.

The previous prime is 507989969. The next prime is 507990079. The reversal of 507990000 is 99705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a self number, because there is not a number n which added to its sum of digits gives 507990000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8609971 + ... + 8610029.

Almost surely, 2^507990000 is an apocalyptic number.

507990000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976187520).

507990000 is an abundant number, since it is smaller than the sum of its proper divisors (1444385040).

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

507990000 is a wasteful number, since it uses less digits than its factorization.

507990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

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

The square root of 507990000 is about 22538.6334989502. The cubic root of 507990000 is about 797.9059819763.

The spelling of 507990000 in words is "five hundred seven million, nine hundred ninety thousand".