496076800 has 72 divisors (see below), whose sum is σ = 1230097050. Its totient is φ = 198410240.

The previous prime is 496076759. The next prime is 496076809. The reversal of 496076800 is 8670694.

It can be written as a sum of positive squares in 3 ways, for example, as 379782144 + 116294656 = 19488^2 + 10784^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (496076809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46356 + ... + 56044.

Almost surely, 2^496076800 is an apocalyptic number.

496076800 is a gapful number since it is divisible by the number (40) 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 496076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615048525).

496076800 is an abundant number, since it is smaller than the sum of its proper divisors (734020250).

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

496076800 is an equidigital number, since it uses as much as digits as its factorization.

496076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 496076800 is about 22272.7815954811. The cubic root of 496076800 is about 791.6191754829.

The spelling of 496076800 in words is "four hundred ninety-six million, seventy-six thousand, eight hundred".