506878372 has 96 divisors (see below), whose sum is σ = 1208438784. Its totient is φ = 179625600.

The previous prime is 506878369. The next prime is 506878391. The reversal of 506878372 is 273878605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283393 + ... + 285175.

It is an arithmetic number, because the mean of its divisors is an integer number (12587904).

Almost surely, 2^506878372 is an apocalyptic number.

506878372 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506878372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604219392).

506878372 is an abundant number, since it is smaller than the sum of its proper divisors (701560412).

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

506878372 is a wasteful number, since it uses less digits than its factorization.

506878372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 506878372 is about 22513.9594918353. The cubic root of 506878372 is about 797.3235411122.

It can be divided in two parts, 506 and 878372, that added together give a palindrome (878878).

The spelling of 506878372 in words is "five hundred six million, eight hundred seventy-eight thousand, three hundred seventy-two".