4857264 has 60 divisors (see below), whose sum is σ = 13782600. Its totient is φ = 1596672.

The previous prime is 4857253. The next prime is 4857269. The reversal of 4857264 is 4627584.

It is a super-4 number, since 4×4857264⁴ (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4857269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12627 + ... + 13005.

It is an arithmetic number, because the mean of its divisors is an integer number (229710).

Almost surely, 2^4857264 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 4857264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891300).

4857264 is an abundant number, since it is smaller than the sum of its proper divisors (8925336).

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

4857264 is a wasteful number, since it uses less digits than its factorization.

4857264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4857264 is about 2203.9201437439. The cubic root of 4857264 is about 169.3546931261.

The spelling of 4857264 in words is "four million, eight hundred fifty-seven thousand, two hundred sixty-four".