491824400 has 30 divisors (see below), whose sum is σ = 1181609082. Its totient is φ = 196729600.

The previous prime is 491824379. The next prime is 491824423. The reversal of 491824400 is 4428194.

It can be written as a sum of positive squares in 3 ways, for example, as 1290496 + 490533904 = 1136^2 + 22148^2 .

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 5 ways as a sum of consecutive naturals, for example, 614381 + ... + 615180.

Almost surely, 2^491824400 is an apocalyptic number.

491824400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

491824400 is an abundant number, since it is smaller than the sum of its proper divisors (689784682).

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

491824400 is a wasteful number, since it uses less digits than its factorization.

491824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229579 (or 1229568 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 491824400 is about 22177.1143298672. The cubic root of 491824400 is about 789.3507457379.

The spelling of 491824400 in words is "four hundred ninety-one million, eight hundred twenty-four thousand, four hundred".