4785360 has 80 divisors (see below), whose sum is σ = 15046656. Its totient is φ = 1257984.

The previous prime is 4785343. The next prime is 4785367. The reversal of 4785360 is 635874.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785367) 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, 30402 + ... + 30558.

Almost surely, 2^4785360 is an apocalyptic number.

4785360 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 4785360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523328).

4785360 is an abundant number, since it is smaller than the sum of its proper divisors (10261296).

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

4785360 is a wasteful number, since it uses less digits than its factorization.

4785360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4785360 is about 2187.5465709328. The cubic root of 4785360 is about 168.5148604328.

The spelling of 4785360 in words is "four million, seven hundred eighty-five thousand, three hundred sixty".