4733264 has 30 divisors (see below), whose sum is σ = 9581790. Its totient is φ = 2262400.

The previous prime is 4733263. The next prime is 4733269. The reversal of 4733264 is 4623374.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3312400 + 1420864 = 1820^2 + 1192^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4733263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46814 + ... + 46914.

It is an arithmetic number, because the mean of its divisors is an integer number (319393).

Almost surely, 2^4733264 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 4733264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790895).

4733264 is an abundant number, since it is smaller than the sum of its proper divisors (4848526).

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

4733264 is a wasteful number, since it uses less digits than its factorization.

4733264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 132 counting only the distinct ones).

The product of its digits is 12096, while the sum is 29.

The square root of 4733264 is about 2175.6065820823. The cubic root of 4733264 is about 167.9011133854.

Multiplying 4733264 by its sum of digits (29), we get a square (137264656 = 11716²).

4733264 divided by its sum of digits (29) gives a square (163216 = 404²).

The spelling of 4733264 in words is "four million, seven hundred thirty-three thousand, two hundred sixty-four".