491893200 has 180 divisors, whose sum is σ = 1721035680. Its totient is φ = 130095360.

The previous prime is 491893189. The next prime is 491893217. The reversal of 491893200 is 2398194.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499909 + ... + 500891.

Almost surely, 2^491893200 is an apocalyptic number.

491893200 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 491893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860517840).

491893200 is an abundant number, since it is smaller than the sum of its proper divisors (1229142480).

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

491893200 is a wasteful number, since it uses less digits than its factorization.

491893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 491893200 is about 22178.6654242315. The cubic root of 491893200 is about 789.3875507433.

The spelling of 491893200 in words is "four hundred ninety-one million, eight hundred ninety-three thousand, two hundred".