491187312 has 240 divisors, whose sum is σ = 1770362880. Its totient is φ = 123379200.

The previous prime is 491187283. The next prime is 491187317. The reversal of 491187312 is 213781194.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491187317) 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, 343014 + ... + 344442.

It is an arithmetic number, because the mean of its divisors is an integer number (7376512).

Almost surely, 2^491187312 is an apocalyptic number.

491187312 is a gapful number since it is divisible by the number (42) 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 491187312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885181440).

491187312 is an abundant number, since it is smaller than the sum of its proper divisors (1279175568).

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

491187312 is a wasteful number, since it uses less digits than its factorization.

491187312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1483 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 491187312 is about 22162.7460392434. The cubic root of 491187312 is about 789.0097682242.

The spelling of 491187312 in words is "four hundred ninety-one million, one hundred eighty-seven thousand, three hundred twelve".