491950800 has 480 divisors, whose sum is σ = 1976123520. Its totient is φ = 115200000.

The previous prime is 491950769. The next prime is 491950801. The reversal of 491950800 is 8059194.

491950800 is a `hidden beast` number, since 491 + 95 + 0 + 80 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491950801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4870750 + ... + 4870850.

It is an arithmetic number, because the mean of its divisors is an integer number (4116924).

Almost surely, 2^491950800 is an apocalyptic number.

491950800 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 491950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988061760).

491950800 is an abundant number, since it is smaller than the sum of its proper divisors (1484172720).

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

491950800 is a wasteful number, since it uses less digits than its factorization.

491950800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 491950800 is about 22179.9639314405. The cubic root of 491950800 is about 789.4183615970.

The spelling of 491950800 in words is "four hundred ninety-one million, nine hundred fifty thousand, eight hundred".