4509960 has 192 divisors, whose sum is σ = 17236800. Its totient is φ = 935424.

The previous prime is 4509941. The next prime is 4509961. The reversal of 4509960 is 699054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4509961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76411 + ... + 76469.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

Almost surely, 2^4509960 is an apocalyptic number.

4509960 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 4509960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

4509960 is an abundant number, since it is smaller than the sum of its proper divisors (12726840).

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

4509960 is a wasteful number, since it uses less digits than its factorization.

4509960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 4509960 is about 2123.6666405065. Note that the first 4 decimals coincide. The cubic root of 4509960 is about 165.2180771179.

The spelling of 4509960 in words is "four million, five hundred nine thousand, nine hundred sixty".