491993320 has 96 divisors (see below), whose sum is σ = 1386844200. Its totient is φ = 155699712.

The previous prime is 491993303. The next prime is 491993351. The reversal of 491993320 is 23399194.

It can be written as a sum of positive squares in 4 ways, for example, as 208340356 + 283652964 = 14434^2 + 16842^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15826 + ... + 35134.

Almost surely, 2^491993320 is an apocalyptic number.

491993320 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 491993320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693422100).

491993320 is an abundant number, since it is smaller than the sum of its proper divisors (894850880).

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

491993320 is a wasteful number, since it uses less digits than its factorization.

491993320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19347 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 491993320 is about 22180.9224334787. The cubic root of 491993320 is about 789.4411044551.

The spelling of 491993320 in words is "four hundred ninety-one million, nine hundred ninety-three thousand, three hundred twenty".