491937600 has 420 divisors, whose sum is σ = 2028972320. Its totient is φ = 102220800.

The previous prime is 491937581. The next prime is 491937617. The reversal of 491937600 is 6739194.

It is a tau number, because it is divible by the number of its divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44721595 + ... + 44721605.

Almost surely, 2^491937600 is an apocalyptic number.

491937600 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 491937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014486160).

491937600 is an abundant number, since it is smaller than the sum of its proper divisors (1537034720).

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

491937600 is an equidigital number, since it uses as much as digits as its factorization.

491937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 491937600 is about 22179.6663635863. Note that the first 3 decimals coincide. The cubic root of 491937600 is about 789.4113009888.

The spelling of 491937600 in words is "four hundred ninety-one million, nine hundred thirty-seven thousand, six hundred".