506992000 has 64 divisors (see below), whose sum is σ = 1260548640. Its totient is φ = 202790400.

The previous prime is 506991943. The next prime is 506992033. The reversal of 506992000 is 299605.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 31843.

Almost surely, 2^506992000 is an apocalyptic number.

506992000 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 506992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630274320).

506992000 is an abundant number, since it is smaller than the sum of its proper divisors (753556640).

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

506992000 is an equidigital number, since it uses as much as digits as its factorization.

506992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31716 (or 31694 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 506992000 is about 22516.4828514580. The cubic root of 506992000 is about 797.3831158973.

The spelling of 506992000 in words is "five hundred six million, nine hundred ninety-two thousand".