491329800 has 240 divisors, whose sum is σ = 1838515140. Its totient is φ = 120890880.

The previous prime is 491329789. The next prime is 491329829. The reversal of 491329800 is 8923194.

It can be written as a sum of positive squares in 6 ways, for example, as 63584676 + 427745124 = 7974^2 + 20682^2 .

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

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 59 ways as a sum of consecutive naturals, for example, 209434 + ... + 211766.

Almost surely, 2^491329800 is an apocalyptic number.

491329800 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 491329800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919257570).

491329800 is an abundant number, since it is smaller than the sum of its proper divisors (1347185340).

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

491329800 is a wasteful number, since it uses less digits than its factorization.

491329800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2356 counting only the distinct ones).

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

The square root of 491329800 is about 22165.9603897508. The cubic root of 491329800 is about 789.0860551802.

The spelling of 491329800 in words is "four hundred ninety-one million, three hundred twenty-nine thousand, eight hundred".