506167992 has 192 divisors, whose sum is σ = 1604828160. Its totient is φ = 142560000.

The previous prime is 506167973. The next prime is 506167997. The reversal of 506167992 is 299761605.

It is a happy number.

It is a super-2 number, since 2×506167992² = 512412072250624128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506167997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673617 + ... + 674367.

It is an arithmetic number, because the mean of its divisors is an integer number (8358480).

Almost surely, 2^506167992 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 506167992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802414080).

506167992 is an abundant number, since it is smaller than the sum of its proper divisors (1098660168).

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

506167992 is a wasteful number, since it uses less digits than its factorization.

506167992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 506167992 is about 22498.1775261909. The cubic root of 506167992 is about 796.9508892524.

The spelling of 506167992 in words is "five hundred six million, one hundred sixty-seven thousand, nine hundred ninety-two".