496872768 has 224 divisors, whose sum is σ = 1573060608. Its totient is φ = 135475200.

The previous prime is 496872757. The next prime is 496872769. The reversal of 496872768 is 867278694.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496872769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3912321 + ... + 3912447.

It is an arithmetic number, because the mean of its divisors is an integer number (7022592).

Almost surely, 2^496872768 is an apocalyptic number.

496872768 is a gapful number since it is divisible by the number (48) 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 496872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786530304).

496872768 is an abundant number, since it is smaller than the sum of its proper divisors (1076187840).

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

496872768 is a wasteful number, since it uses less digits than its factorization.

496872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 496872768 is about 22290.6430593646. The cubic root of 496872768 is about 792.0423403545.

The spelling of 496872768 in words is "four hundred ninety-six million, eight hundred seventy-two thousand, seven hundred sixty-eight".