491652000 has 288 divisors, whose sum is σ = 1995162624. Its totient is φ = 112320000.

The previous prime is 491651989. The next prime is 491652001. The reversal of 491652000 is 256194.

491652000 is a `hidden beast` number, since 4 + 9 + 1 + 652 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (491652001) 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, 251025 + ... + 252975.

It is an arithmetic number, because the mean of its divisors is an integer number (6927648).

Almost surely, 2^491652000 is an apocalyptic number.

491652000 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 491652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997581312).

491652000 is an abundant number, since it is smaller than the sum of its proper divisors (1503510624).

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

491652000 is a wasteful number, since it uses less digits than its factorization.

491652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 491652000 is about 22173.2270993647. The cubic root of 491652000 is about 789.2585041626.

The spelling of 491652000 in words is "four hundred ninety-one million, six hundred fifty-two thousand".