496988200 has 48 divisors (see below), whose sum is σ = 1223476380. Its totient is φ = 187100160.

The previous prime is 496988197. The next prime is 496988201. The reversal of 496988200 is 2889694.

It can be written as a sum of positive squares in 6 ways, for example, as 283652964 + 213335236 = 16842^2 + 14606^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (496988201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69687 + ... + 76486.

Almost surely, 2^496988200 is an apocalyptic number.

496988200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496988200 is an abundant number, since it is smaller than the sum of its proper divisors (726488180).

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

496988200 is a wasteful number, since it uses less digits than its factorization.

496988200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146206 (or 146197 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 496988200 is about 22293.2321568677. The cubic root of 496988200 is about 792.1036705771.

The spelling of 496988200 in words is "four hundred ninety-six million, nine hundred eighty-eight thousand, two hundred".