496320000 has 400 divisors, whose sum is σ = 1840810752. Its totient is φ = 117760000.

The previous prime is 496319983. The next prime is 496320001. The reversal of 496320000 is 23694.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496320001) 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 39 ways as a sum of consecutive naturals, for example, 10559977 + ... + 10560023.

Almost surely, 2^496320000 is an apocalyptic number.

496320000 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 496320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920405376).

496320000 is an abundant number, since it is smaller than the sum of its proper divisors (1344490752).

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

496320000 is an equidigital number, since it uses as much as digits as its factorization.

496320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 496320000 is about 22278.2405050309. The cubic root of 496320000 is about 791.7485172374.

Adding to 496320000 its reverse (23694), we get a palindrome (496343694).

The spelling of 496320000 in words is "four hundred ninety-six million, three hundred twenty thousand".