506074680 has 96 divisors (see below), whose sum is σ = 1657843200. Its totient is φ = 133878528.

The previous prime is 506074669. The next prime is 506074703. The reversal of 506074680 is 86470605.

It is a happy number.

506074680 is a `hidden beast` number, since 5 + 0 + 607 + 46 + 8 + 0 = 666.

It is a super-2 number, since 2×506074680² = 512223163474204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 40186 + ... + 51254.

It is an arithmetic number, because the mean of its divisors is an integer number (17269200).

Almost surely, 2^506074680 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 506074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828921600).

506074680 is an abundant number, since it is smaller than the sum of its proper divisors (1151768520).

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

506074680 is a wasteful number, since it uses less digits than its factorization.

506074680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 506074680 is about 22496.1036626346. The cubic root of 506074680 is about 796.9019136469.

The spelling of 506074680 in words is "five hundred six million, seventy-four thousand, six hundred eighty".