4460533120 has 128 divisors (see below), whose sum is σ = 10951666560. Its totient is φ = 1736441856.

The previous prime is 4460533109. The next prime is 4460533139. The reversal of 4460533120 is 213350644.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7730272 + ... + 7730848.

It is an arithmetic number, because the mean of its divisors is an integer number (85559895).

Almost surely, 2^4460533120 is an apocalyptic number.

4460533120 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 4460533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475833280).

4460533120 is an abundant number, since it is smaller than the sum of its proper divisors (6491133440).

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

4460533120 is a wasteful number, since it uses less digits than its factorization.

4460533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4460533120 is about 66787.2227301001. Note that the first 3 decimals coincide. The cubic root of 4460533120 is about 1646.1228981060.

Adding to 4460533120 its reverse (213350644), we get a palindrome (4673883764).

The spelling of 4460533120 in words is "four billion, four hundred sixty million, five hundred thirty-three thousand, one hundred twenty".