491059200 has 288 divisors, whose sum is σ = 1706140800. Its totient is φ = 124354560.

The previous prime is 491059171. The next prime is 491059253. The reversal of 491059200 is 2950194.

It is a happy number.

It is a super-2 number, since 2×491059200² = 482278275809280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3532731 + ... + 3532869.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 2^491059200 is an apocalyptic number.

491059200 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 491059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853070400).

491059200 is an abundant number, since it is smaller than the sum of its proper divisors (1215081600).

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

491059200 is a wasteful number, since it uses less digits than its factorization.

491059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 491059200 is about 22159.8555951974. The cubic root of 491059200 is about 788.9411654690.

The spelling of 491059200 in words is "four hundred ninety-one million, fifty-nine thousand, two hundred".