4788100 has 18 divisors (see below), whose sum is σ = 10390394. Its totient is φ = 1915200.

The previous prime is 4788097. The next prime is 4788109. The reversal of 4788100 is 18874.

It can be written as a sum of positive squares in 3 ways, for example, as 1032256 + 3755844 = 1016^2 + 1938^2 .

It is a super-2 number, since 2×4788100² = 45851803220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4788109) 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, 23841 + ... + 24040.

Almost surely, 2^4788100 is an apocalyptic number.

It is an amenable number.

4788100 is an abundant number, since it is smaller than the sum of its proper divisors (5602294).

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

4788100 is a wasteful number, since it uses less digits than its factorization.

4788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47895 (or 47888 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 4788100 is about 2188.1727536920. The cubic root of 4788100 is about 168.5470170256.

The spelling of 4788100 in words is "four million, seven hundred eighty-eight thousand, one hundred".