491884800 has 432 divisors, whose sum is σ = 1888754112. Its totient is φ = 111411200.

The previous prime is 491884793. The next prime is 491884801. The reversal of 491884800 is 8488194.

It is not an unprimeable number, because it can be changed into a prime (491884801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590332 + ... + 3590468.

It is an arithmetic number, because the mean of its divisors is an integer number (4372116).

Almost surely, 2^491884800 is an apocalyptic number.

491884800 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 491884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944377056).

491884800 is an abundant number, since it is smaller than the sum of its proper divisors (1396869312).

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

491884800 is a wasteful number, since it uses less digits than its factorization.

491884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 491884800 is about 22178.4760522449. The cubic root of 491884800 is about 789.3830572929.

The spelling of 491884800 in words is "four hundred ninety-one million, eight hundred eighty-four thousand, eight hundred".