491509200 has 360 divisors, whose sum is σ = 1975477728. Its totient is φ = 103541760.

The previous prime is 491509199. The next prime is 491509217. The reversal of 491509200 is 2905194.

It is a happy number.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764079 + ... + 764721.

Almost surely, 2^491509200 is an apocalyptic number.

491509200 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 491509200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987738864).

491509200 is an abundant number, since it is smaller than the sum of its proper divisors (1483968528).

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

491509200 is a wasteful number, since it uses less digits than its factorization.

491509200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 673 counting only the distinct ones).

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

The square root of 491509200 is about 22170.0067658988. The cubic root of 491509200 is about 789.1820835589.

The spelling of 491509200 in words is "four hundred ninety-one million, five hundred nine thousand, two hundred".