4770288 has 60 divisors (see below), whose sum is σ = 13498888. Its totient is φ = 1572480.

The previous prime is 4770287. The next prime is 4770313. The reversal of 4770288 is 8820774.

4770288 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4770281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22503 + ... + 22713.

Almost surely, 2^4770288 is an apocalyptic number.

4770288 is a gapful number since it is divisible by the number (48) 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 4770288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749444).

4770288 is an abundant number, since it is smaller than the sum of its proper divisors (8728600).

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

4770288 is a wasteful number, since it uses less digits than its factorization.

4770288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4770288 is about 2184.0988988597. The cubic root of 4770288 is about 168.3377558772.

The spelling of 4770288 in words is "four million, seven hundred seventy thousand, two hundred eighty-eight".