491409072 has 480 divisors, whose sum is σ = 1899878400. Its totient is φ = 118609920.

The previous prime is 491409071. The next prime is 491409077. The reversal of 491409072 is 270904194.

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

It is not an unprimeable number, because it can be changed into a prime (491409071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6220329 + ... + 6220407.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^491409072 is an apocalyptic number.

491409072 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 491409072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

491409072 is an abundant number, since it is smaller than the sum of its proper divisors (1408469328).

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

491409072 is a wasteful number, since it uses less digits than its factorization.

491409072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 491409072 is about 22167.7484648306. The cubic root of 491409072 is about 789.1284904012.

The spelling of 491409072 in words is "four hundred ninety-one million, four hundred nine thousand, seventy-two".