491121792 has 320 divisors, whose sum is σ = 1712082240. Its totient is φ = 136857600.

The previous prime is 491121781. The next prime is 491121803. The reversal of 491121792 is 297121194.

It is an interprime number because it is at equal distance from previous prime (491121781) and next prime (491121803).

It is a super-2 number, since 2×491121792² = 482401229154582528, which contains 22 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4862542 + ... + 4862642.

It is an arithmetic number, because the mean of its divisors is an integer number (5350257).

Almost surely, 2^491121792 is an apocalyptic number.

491121792 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 491121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856041120).

491121792 is an abundant number, since it is smaller than the sum of its proper divisors (1220960448).

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

491121792 is a wasteful number, since it uses less digits than its factorization.

491121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 491121792 is about 22161.2678337680. The cubic root of 491121792 is about 788.9746843791.

The spelling of 491121792 in words is "four hundred ninety-one million, one hundred twenty-one thousand, seven hundred ninety-two".