506112992 has 144 divisors (see below), whose sum is σ = 1274144256. Its totient is φ = 193670400.

The previous prime is 506112989. The next prime is 506113021. The reversal of 506112992 is 299211605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924253 + ... + 1924515.

It is an arithmetic number, because the mean of its divisors is an integer number (8848224).

Almost surely, 2^506112992 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 506112992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637072128).

506112992 is an abundant number, since it is smaller than the sum of its proper divisors (768031264).

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

506112992 is a wasteful number, since it uses less digits than its factorization.

506112992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 506112992 is about 22496.9551717560. The cubic root of 506112992 is about 796.9220227579.

The spelling of 506112992 in words is "five hundred six million, one hundred twelve thousand, nine hundred ninety-two".