491824224 has 168 divisors, whose sum is σ = 1503880560. Its totient is φ = 158070528.

The previous prime is 491824213. The next prime is 491824243. The reversal of 491824224 is 422428194.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 676149 + ... + 676875.

It is an arithmetic number, because the mean of its divisors is an integer number (8951670).

Almost surely, 2^491824224 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 491824224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751940280).

491824224 is an abundant number, since it is smaller than the sum of its proper divisors (1012056336).

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

491824224 is an equidigital number, since it uses as much as digits as its factorization.

491824224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 761 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 491824224 is about 22177.1103618122. The cubic root of 491824224 is about 789.3506515811.

The spelling of 491824224 in words is "four hundred ninety-one million, eight hundred twenty-four thousand, two hundred twenty-four".