491295600 has 90 divisors (see below), whose sum is σ = 1704944696. Its totient is φ = 131011200.

The previous prime is 491295599. The next prime is 491295619. The reversal of 491295600 is 6592194.

491295600 is a `hidden beast` number, since 4 + 91 + 2 + 9 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64636 + ... + 71835.

Almost surely, 2^491295600 is an apocalyptic number.

491295600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

491295600 is an abundant number, since it is smaller than the sum of its proper divisors (1213649096).

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

491295600 is a wasteful number, since it uses less digits than its factorization.

491295600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136495 (or 136481 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 491295600 is about 22165.1889231741. The cubic root of 491295600 is about 789.0677461142.

The spelling of 491295600 in words is "four hundred ninety-one million, two hundred ninety-five thousand, six hundred".