490312800 has 108 divisors (see below), whose sum is σ = 1728990900. Its totient is φ = 130748160.

The previous prime is 490312783. The next prime is 490312807. The reversal of 490312800 is 8213094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490312807) 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 17 ways as a sum of consecutive naturals, for example, 26850 + ... + 41249.

It is an arithmetic number, because the mean of its divisors is an integer number (16009175).

Almost surely, 2^490312800 is an apocalyptic number.

490312800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490312800 is an abundant number, since it is smaller than the sum of its proper divisors (1238678100).

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

490312800 is a wasteful number, since it uses less digits than its factorization.

490312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68125 (or 68109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 490312800 is about 22143.0079257539. The cubic root of 490312800 is about 788.5412379296.

Adding to 490312800 its reverse (8213094), we get a palindrome (498525894).

The spelling of 490312800 in words is "four hundred ninety million, three hundred twelve thousand, eight hundred".