4494361600 has 99 divisors (see below), whose sum is σ = 11167226317. Its totient is φ = 1793454080.

The previous prime is 4494361559. The next prime is 4494361601. The reversal of 4494361600 is 61634944.

The square root of 4494361600 is 67040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1617970176 + 2876391424 = 40224^2 + 53632^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4494361600.

It is not an unprimeable number, because it can be changed into a prime (4494361601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10726191 + ... + 10726609.

Almost surely, 2^4494361600 is an apocalyptic number.

4494361600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4494361600 is the 67040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4494361600

4494361600 is an abundant number, since it is smaller than the sum of its proper divisors (6672864717).

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

4494361600 is an frugal number, since it uses more digits than its factorization.

4494361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The cubic root of 4494361600 is about 1650.2737960094.

The spelling of 4494361600 in words is "four billion, four hundred ninety-four million, three hundred sixty-one thousand, six hundred".