496484000 has 48 divisors (see below), whose sum is σ = 1219871016. Its totient is φ = 198592000.

The previous prime is 496483993. The next prime is 496484017. The reversal of 496484000 is 484694.

It can be written as a sum of positive squares in 4 ways, for example, as 144096016 + 352387984 = 12004^2 + 18772^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58061 + ... + 66060.

Almost surely, 2^496484000 is an apocalyptic number.

496484000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496484000 is an abundant number, since it is smaller than the sum of its proper divisors (723387016).

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

496484000 is a wasteful number, since it uses less digits than its factorization.

496484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124146 (or 124128 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 496484000 is about 22281.9209225776. The cubic root of 496484000 is about 791.8357139771.

The spelling of 496484000 in words is "four hundred ninety-six million, four hundred eighty-four thousand".