4492960000 has 90 divisors (see below), whose sum is σ = 11207273462. Its totient is φ = 1797120000.

The previous prime is 4492959997. The next prime is 4492960009. The reversal of 4492960000 is 692944.

It can be written as a sum of positive squares in 5 ways, for example, as 2351862016 + 2141097984 = 48496^2 + 46272^2 .

It is not an unprimeable number, because it can be changed into a prime (4492960009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 145960 + ... + 174040.

Almost surely, 2^4492960000 is an apocalyptic number.

4492960000 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 4492960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603636731).

4492960000 is an abundant number, since it is smaller than the sum of its proper divisors (6714313462).

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

4492960000 is an frugal number, since it uses more digits than its factorization.

4492960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28117 (or 28088 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 4492960000 is about 67029.5457242551. The cubic root of 4492960000 is about 1650.1022281320.

The spelling of 4492960000 in words is "four billion, four hundred ninety-two million, nine hundred sixty thousand".