491805600 has 288 divisors, whose sum is σ = 1882004544. Its totient is φ = 109977600.

The previous prime is 491805583. The next prime is 491805653. The reversal of 491805600 is 6508194.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 342484 + ... + 343916.

It is an arithmetic number, because the mean of its divisors is an integer number (6534738).

Almost surely, 2^491805600 is an apocalyptic number.

491805600 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 491805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941002272).

491805600 is an abundant number, since it is smaller than the sum of its proper divisors (1390198944).

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

491805600 is a wasteful number, since it uses less digits than its factorization.

491805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 491805600 is about 22176.6904654414. The cubic root of 491805600 is about 789.3406879590.

The spelling of 491805600 in words is "four hundred ninety-one million, eight hundred five thousand, six hundred".