491835960 has 288 divisors, whose sum is σ = 2009236320. Its totient is φ = 102136320.

The previous prime is 491835943. The next prime is 491835991. The reversal of 491835960 is 69538194.

It is a happy number.

491835960 is a `hidden beast` number, since 49 + 18 + 3 + 596 + 0 = 666.

It is a super-3 number, since 3×491835960³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304114 + ... + 305726.

It is an arithmetic number, because the mean of its divisors is an integer number (6976515).

Almost surely, 2^491835960 is an apocalyptic number.

491835960 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 491835960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004618160).

491835960 is an abundant number, since it is smaller than the sum of its proper divisors (1517400360).

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

491835960 is a wasteful number, since it uses less digits than its factorization.

491835960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 491835960 is about 22177.3749573749. The cubic root of 491835960 is about 789.3569300746.

The spelling of 491835960 in words is "four hundred ninety-one million, eight hundred thirty-five thousand, nine hundred sixty".