4875264 has 99 divisors (see below), whose sum is σ = 14715883. Its totient is φ = 1554432.

The previous prime is 4875259. The next prime is 4875271. The reversal of 4875264 is 4625784.

The square root of 4875264 is 2208.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁴ + 8⁷ + 7⁷ + 5⁹ + 2⁷ + 6² + 4⁵ .

Its product of digits (53760) is a multiple of the sum of its prime divisors (28).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 211957 + ... + 211979.

Almost surely, 2^4875264 is an apocalyptic number.

4875264 is the 2208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4875264

4875264 is an abundant number, since it is smaller than the sum of its proper divisors (9840619).

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

4875264 is a wasteful number, since it uses less digits than its factorization.

4875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

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

The cubic root of 4875264 is about 169.5636328812.

Multiplying 4875264 by its sum of digits (36), we get a square (175509504 = 13248²).

4875264 divided by its sum of digits (36) gives a square (135424 = 368²).

The spelling of 4875264 in words is "four million, eight hundred seventy-five thousand, two hundred sixty-four".