506990000 has 150 divisors (see below), whose sum is σ = 1352426460. Its totient is φ = 183920000.

The previous prime is 506989993. The next prime is 506990017. The reversal of 506990000 is 99605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209791 + ... + 1210209.

Almost surely, 2^506990000 is an apocalyptic number.

506990000 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 506990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676213230).

506990000 is an abundant number, since it is smaller than the sum of its proper divisors (845436460).

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

506990000 is a wasteful number, since it uses less digits than its factorization.

506990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 506990000 is about 22516.4384395046. The cubic root of 506990000 is about 797.3820673809.

The spelling of 506990000 in words is "five hundred six million, nine hundred ninety thousand".