506072364 has 24 divisors (see below), whose sum is σ = 1349526528. Its totient is φ = 144592080.

The previous prime is 506072339. The next prime is 506072407. The reversal of 506072364 is 463270605.

It is a super-2 number, since 2×506072364² = 512218475209096992, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3012252 + ... + 3012419.

It is an arithmetic number, because the mean of its divisors is an integer number (56230272).

Almost surely, 2^506072364 is an apocalyptic number.

It is an amenable number.

506072364 is an abundant number, since it is smaller than the sum of its proper divisors (843454164).

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

506072364 is a wasteful number, since it uses less digits than its factorization.

506072364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024685 (or 6024683 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 506072364 is about 22496.0521869949. The cubic root of 506072364 is about 796.9006979979.

The spelling of 506072364 in words is "five hundred six million, seventy-two thousand, three hundred sixty-four".