491065600 has 81 divisors (see below), whose sum is σ = 1219867887. Its totient is φ = 195717120.

The previous prime is 491065573. The next prime is 491065609. The reversal of 491065600 is 6560194.

The square root of 491065600 is 22160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 112529664 + 378535936 = 10608^2 + 19456^2 .

It is a super-2 number, since 2×491065600² = 482290847006720000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (491065609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1772662 + ... + 1772938.

Almost surely, 2^491065600 is an apocalyptic number.

491065600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

491065600 is the 22160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491065600

491065600 is an abundant number, since it is smaller than the sum of its proper divisors (728802287).

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

491065600 is an frugal number, since it uses more digits than its factorization.

491065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 491065600 is about 788.9445928912.

The spelling of 491065600 in words is "four hundred ninety-one million, sixty-five thousand, six hundred".