506827872 has 72 divisors (see below), whose sum is σ = 1443648024. Its totient is φ = 168666624.

The previous prime is 506827829. The next prime is 506827889. The reversal of 506827872 is 278728605.

506827872 is a `hidden beast` number, since 506 + 8 + 2 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 253308 + ... + 255300.

It is an arithmetic number, because the mean of its divisors is an integer number (20050667).

Almost surely, 2^506827872 is an apocalyptic number.

It is an amenable number.

506827872 is an abundant number, since it is smaller than the sum of its proper divisors (936820152).

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

506827872 is a wasteful number, since it uses less digits than its factorization.

506827872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 506827872 is about 22512.8379374969. The cubic root of 506827872 is about 797.2970612712.

The spelling of 506827872 in words is "five hundred six million, eight hundred twenty-seven thousand, eight hundred seventy-two".