4788900 has 108 divisors (see below), whose sum is σ = 15944292. Its totient is φ = 1198080.

The previous prime is 4788887. The next prime is 4788907. The reversal of 4788900 is 98874.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 4235364 = 744^2 + 2058^2 .

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (4788907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15144 + ... + 15456.

Almost surely, 2^4788900 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 4788900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972146).

4788900 is an abundant number, since it is smaller than the sum of its proper divisors (11155392).

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

4788900 is a wasteful number, since it uses less digits than its factorization.

4788900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4788900 is about 2188.3555469804. The cubic root of 4788900 is about 168.5564034980.

The spelling of 4788900 in words is "four million, seven hundred eighty-eight thousand, nine hundred".