491808000 has 288 divisors, whose sum is σ = 1683601920. Its totient is φ = 127180800.

The previous prime is 491807999. The next prime is 491808007. The reversal of 491808000 is 808194.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491808007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4511946 + ... + 4512054.

It is an arithmetic number, because the mean of its divisors is an integer number (5845840).

Almost surely, 2^491808000 is an apocalyptic number.

491808000 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 491808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841800960).

491808000 is an abundant number, since it is smaller than the sum of its proper divisors (1191793920).

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

491808000 is a wasteful number, since it uses less digits than its factorization.

491808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 491808000 is about 22176.7445762447. The cubic root of 491808000 is about 789.3419719451.

The spelling of 491808000 in words is "four hundred ninety-one million, eight hundred eight thousand".