491125824 has 126 divisors (see below), whose sum is σ = 1637650014. Its totient is φ = 140313600.

The previous prime is 491125807. The next prime is 491125829. The reversal of 491125824 is 428521194.

It can be written as a sum of positive squares in only one way, i.e., 433972224 + 57153600 = 20832^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491125829) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19524 + ... + 36924.

Almost surely, 2^491125824 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 491125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818825007).

491125824 is an abundant number, since it is smaller than the sum of its proper divisors (1146524190).

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

491125824 is a wasteful number, since it uses less digits than its factorization.

491125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17433 (or 17413 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 491125824 is about 22161.3588031059. The cubic root of 491125824 is about 788.9768434750.

The spelling of 491125824 in words is "four hundred ninety-one million, one hundred twenty-five thousand, eight hundred twenty-four".