491772160 has 144 divisors (see below), whose sum is σ = 1311266880. Its totient is φ = 175185920.

The previous prime is 491772157. The next prime is 491772191. The reversal of 491772160 is 61277194.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745911 + ... + 746569.

It is an arithmetic number, because the mean of its divisors is an integer number (9106020).

Almost surely, 2^491772160 is an apocalyptic number.

491772160 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 491772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655633440).

491772160 is an abundant number, since it is smaller than the sum of its proper divisors (819494720).

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

491772160 is a wasteful number, since it uses less digits than its factorization.

491772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 491772160 is about 22175.9365078456. The cubic root of 491772160 is about 789.3227973190.

It can be divided in two parts, 4917 and 72160, that added together give a palindrome (77077).

The spelling of 491772160 in words is "four hundred ninety-one million, seven hundred seventy-two thousand, one hundred sixty".