4491801600 has 528 divisors, whose sum is σ = 17483672640. Its totient is φ = 1002700800.

The previous prime is 4491801593. The next prime is 4491801623. The reversal of 4491801600 is 61081944.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×4491801600² = 40352563227525120000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10982196 + ... + 10982604.

Almost surely, 2^4491801600 is an apocalyptic number.

4491801600 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 4491801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741836320).

4491801600 is an abundant number, since it is smaller than the sum of its proper divisors (12991871040).

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

4491801600 is a wasteful number, since it uses less digits than its factorization.

4491801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 4491801600 is about 67020.9042015997. The cubic root of 4491801600 is about 1649.9604030902.

The spelling of 4491801600 in words is "four billion, four hundred ninety-one million, eight hundred one thousand, six hundred".