491568000 has 768 divisors, whose sum is σ = 2176761600. Its totient is φ = 96768000.

The previous prime is 491567987. The next prime is 491568001. The reversal of 491568000 is 865194.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491568001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25871991 + ... + 25872009.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^491568000 is an apocalyptic number.

491568000 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 491568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088380800).

491568000 is an abundant number, since it is smaller than the sum of its proper divisors (1685193600).

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

491568000 is a wasteful number, since it uses less digits than its factorization.

491568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 491568000 is about 22171.3328422087. The cubic root of 491568000 is about 789.2135526586.

The spelling of 491568000 in words is "four hundred ninety-one million, five hundred sixty-eight thousand".