491248800 has 648 divisors, whose sum is σ = 2166798816. Its totient is φ = 106375680.

The previous prime is 491248733. The next prime is 491248811. The reversal of 491248800 is 8842194.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25855191 + ... + 25855209.

Almost surely, 2^491248800 is an apocalyptic number.

491248800 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 491248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083399408).

491248800 is an abundant number, since it is smaller than the sum of its proper divisors (1675550016).

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

491248800 is a wasteful number, since it uses less digits than its factorization.

491248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 491248800 is about 22164.1331885549. The cubic root of 491248800 is about 789.0426902258.

The spelling of 491248800 in words is "four hundred ninety-one million, two hundred forty-eight thousand, eight hundred".