490366800 has 720 divisors, whose sum is σ = 2230750080. Its totient is φ = 96768000.

The previous prime is 490366783. The next prime is 490366813. The reversal of 490366800 is 8663094.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8038770 + ... + 8038830.

It is an arithmetic number, because the mean of its divisors is an integer number (3098264).

Almost surely, 2^490366800 is an apocalyptic number.

490366800 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 490366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115375040).

490366800 is an abundant number, since it is smaller than the sum of its proper divisors (1740383280).

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

490366800 is a wasteful number, since it uses less digits than its factorization.

490366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 490366800 is about 22144.2272387184. The cubic root of 490366800 is about 788.5701852082.

The spelling of 490366800 in words is "four hundred ninety million, three hundred sixty-six thousand, eight hundred".