490930800 has 120 divisors (see below), whose sum is σ = 1615264176. Its totient is φ = 127365120.

The previous prime is 490930793. The next prime is 490930823. The reversal of 490930800 is 8039094.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38872 + ... + 49928.

Almost surely, 2^490930800 is an apocalyptic number.

490930800 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 490930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807632088).

490930800 is an abundant number, since it is smaller than the sum of its proper divisors (1124333376).

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

490930800 is a wasteful number, since it uses less digits than its factorization.

490930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 490930800 is about 22156.9582749979. The cubic root of 490930800 is about 788.8723965194.

Adding to 490930800 its reverse (8039094), we get a palindrome (498969894).

The spelling of 490930800 in words is "four hundred ninety million, nine hundred thirty thousand, eight hundred".