4509764 has 48 divisors (see below), whose sum is σ = 9744000. Its totient is φ = 1820448.

The previous prime is 4509763. The next prime is 4509779. The reversal of 4509764 is 4679054.

It is an Ulam number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (4509763) 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 15 ways as a sum of consecutive naturals, for example, 25982 + ... + 26154.

It is an arithmetic number, because the mean of its divisors is an integer number (203000).

Almost surely, 2^4509764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4509764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872000).

4509764 is an abundant number, since it is smaller than the sum of its proper divisors (5234236).

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

4509764 is a wasteful number, since it uses less digits than its factorization.

4509764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 4509764 is about 2123.6204934027. The cubic root of 4509764 is about 165.2156836589.

The spelling of 4509764 in words is "four million, five hundred nine thousand, seven hundred sixty-four".