4288480 has 72 divisors (see below), whose sum is σ = 11807208. Its totient is φ = 1467648.

The previous prime is 4288457. The next prime is 4288481. The reversal of 4288480 is 848824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7567 + ... + 8113.

It is an arithmetic number, because the mean of its divisors is an integer number (163989).

Almost surely, 2^4288480 is an apocalyptic number.

4288480 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 4288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903604).

4288480 is an abundant number, since it is smaller than the sum of its proper divisors (7518728).

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

4288480 is a wasteful number, since it uses less digits than its factorization.

4288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 4288480 is about 2070.8645537553. The cubic root of 4288480 is about 162.4679858037.

The spelling of 4288480 in words is "four million, two hundred eighty-eight thousand, four hundred eighty".