491368800 has 144 divisors (see below), whose sum is σ = 1722546000. Its totient is φ = 120944640.

The previous prime is 491368789. The next prime is 491368841. The reversal of 491368800 is 8863194.

It is a super-2 number, since 2×491368800² = 482886595226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23326 + ... + 39074.

It is an arithmetic number, because the mean of its divisors is an integer number (11962125).

Almost surely, 2^491368800 is an apocalyptic number.

491368800 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 491368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861273000).

491368800 is an abundant number, since it is smaller than the sum of its proper divisors (1231177200).

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

491368800 is a wasteful number, since it uses less digits than its factorization.

491368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15772 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 491368800 is about 22166.8400995722. The cubic root of 491368800 is about 789.1069329029.

The spelling of 491368800 in words is "four hundred ninety-one million, three hundred sixty-eight thousand, eight hundred".