506268896 has 48 divisors (see below), whose sum is σ = 1150216704. Its totient is φ = 214856064.

The previous prime is 506268887. The next prime is 506268907. The reversal of 506268896 is 698862605.

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 7 ways as a sum of consecutive naturals, for example, 12101 + ... + 34043.

It is an arithmetic number, because the mean of its divisors is an integer number (23962848).

Almost surely, 2^506268896 is an apocalyptic number.

506268896 is a gapful number since it is divisible by the number (56) 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 506268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575108352).

506268896 is an abundant number, since it is smaller than the sum of its proper divisors (643947808).

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

506268896 is a wasteful number, since it uses less digits than its factorization.

506268896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22063 (or 22055 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 506268896 is about 22500.4199071928. The cubic root of 506268896 is about 797.0038428112.

The spelling of 506268896 in words is "five hundred six million, two hundred sixty-eight thousand, eight hundred ninety-six".