491607600 has 120 divisors (see below), whose sum is σ = 1717991232. Its totient is φ = 119174400.

The previous prime is 491607559. The next prime is 491607607. The reversal of 491607600 is 6706194.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (491607607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5422 + ... + 31821.

Almost surely, 2^491607600 is an apocalyptic number.

491607600 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 491607600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858995616).

491607600 is an abundant number, since it is smaller than the sum of its proper divisors (1226383632).

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

491607600 is a wasteful number, since it uses less digits than its factorization.

491607600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37275 (or 37264 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 491607600 is about 22172.2258693168. The cubic root of 491607600 is about 789.2347447199.

The spelling of 491607600 in words is "four hundred ninety-one million, six hundred seven thousand, six hundred".