491834100 has 72 divisors (see below), whose sum is σ = 1432720800. Its totient is φ = 130263680.

The previous prime is 491834087. The next prime is 491834141. The reversal of 491834100 is 1438194.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39199 + ... + 50201.

It is an arithmetic number, because the mean of its divisors is an integer number (19898900).

Almost surely, 2^491834100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491834100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716360400).

491834100 is an abundant number, since it is smaller than the sum of its proper divisors (940886700).

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

491834100 is a wasteful number, since it uses less digits than its factorization.

491834100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11169 (or 11162 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 491834100 is about 22177.3330227059. Note that the first 3 decimals coincide. The cubic root of 491834100 is about 789.3559350235.

The spelling of 491834100 in words is "four hundred ninety-one million, eight hundred thirty-four thousand, one hundred".