491832000 has 672 divisors, whose sum is σ = 2076931584. Its totient is φ = 114048000.

The previous prime is 491831999. The next prime is 491832007. The reversal of 491832000 is 238194.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (491832007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21383989 + ... + 21384011.

It is an arithmetic number, because the mean of its divisors is an integer number (3090672).

Almost surely, 2^491832000 is an apocalyptic number.

491832000 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 491832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038465792).

491832000 is an abundant number, since it is smaller than the sum of its proper divisors (1585099584).

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

491832000 is a wasteful number, since it uses less digits than its factorization.

491832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 491832000 is about 22177.2856770165. The cubic root of 491832000 is about 789.3548115757.

The spelling of 491832000 in words is "four hundred ninety-one million, eight hundred thirty-two thousand".