491993600 has 360 divisors, whose sum is σ = 1557742560. Its totient is φ = 150405120.

The previous prime is 491993599. The next prime is 491993633. The reversal of 491993600 is 6399194.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25894391 + ... + 25894409.

Almost surely, 2^491993600 is an apocalyptic number.

491993600 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 491993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778871280).

491993600 is an abundant number, since it is smaller than the sum of its proper divisors (1065748960).

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

491993600 is a wasteful number, since it uses less digits than its factorization.

491993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 491993600 is about 22180.9287452081. The cubic root of 491993600 is about 789.4412542156.

The spelling of 491993600 in words is "four hundred ninety-one million, nine hundred ninety-three thousand, six hundred".