4492488960 has 288 divisors, whose sum is σ = 16211045760. Its totient is φ = 1177804800.

The previous prime is 4492488947. The next prime is 4492488967. The reversal of 4492488960 is 698842944.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4492488897 and 4492488906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492488967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107095 + ... + 2109225.

Almost surely, 2^4492488960 is an apocalyptic number.

4492488960 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 4492488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105522880).

4492488960 is an abundant number, since it is smaller than the sum of its proper divisors (11718556800).

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

4492488960 is a wasteful number, since it uses less digits than its factorization.

4492488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4492488960 is about 67026.0319577401. The cubic root of 4492488960 is about 1650.0445607800.

The spelling of 4492488960 in words is "four billion, four hundred ninety-two million, four hundred eighty-eight thousand, nine hundred sixty".