496666800 has 180 divisors, whose sum is σ = 1969896240. Its totient is φ = 113518080.

The previous prime is 496666757. The next prime is 496666801. The reversal of 496666800 is 8666694.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (496666801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 15346 + ... + 35054.

It is an arithmetic number, because the mean of its divisors is an integer number (10943868).

Almost surely, 2^496666800 is an apocalyptic number.

496666800 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 496666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984948120).

496666800 is an abundant number, since it is smaller than the sum of its proper divisors (1473229440).

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

496666800 is a wasteful number, since it uses less digits than its factorization.

496666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19740 (or 19726 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 496666800 is about 22286.0225253409. The cubic root of 496666800 is about 791.9328838136.

The spelling of 496666800 in words is "four hundred ninety-six million, six hundred sixty-six thousand, eight hundred".