4788000 has 288 divisors, whose sum is σ = 20442240. Its totient is φ = 1036800.

The previous prime is 4787971. The next prime is 4788011. The reversal of 4788000 is 8874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251991 + ... + 252009.

It is an arithmetic number, because the mean of its divisors is an integer number (70980).

Almost surely, 2^4788000 is an apocalyptic number.

4788000 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 4788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

4788000 is an abundant number, since it is smaller than the sum of its proper divisors (15654240).

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

4788000 is a wasteful number, since it uses less digits than its factorization.

4788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4788000 is about 2188.1499034573. The cubic root of 4788000 is about 168.5458436431.

The spelling of 4788000 in words is "four million, seven hundred eighty-eight thousand".