506385992 has 64 divisors (see below), whose sum is σ = 1143168000. Its totient is φ = 209986560.

The previous prime is 506385983. The next prime is 506386031. The reversal of 506385992 is 299583605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82088 + ... + 88040.

It is an arithmetic number, because the mean of its divisors is an integer number (17862000).

Almost surely, 2^506385992 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 506385992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571584000).

506385992 is an abundant number, since it is smaller than the sum of its proper divisors (636782008).

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

506385992 is a wasteful number, since it uses less digits than its factorization.

506385992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 47.

The square root of 506385992 is about 22503.0218415216. The cubic root of 506385992 is about 797.0652849739.

The spelling of 506385992 in words is "five hundred six million, three hundred eighty-five thousand, nine hundred ninety-two".