4288440 has 64 divisors (see below), whose sum is σ = 13860000. Its totient is φ = 1055232.

The previous prime is 4288439. The next prime is 4288441. The reversal of 4288440 is 448824.

4288440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4288439) and next prime (4288441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4288398 and 4288407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186 + ... + 2934.

Almost surely, 2^4288440 is an apocalyptic number.

4288440 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 4288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930000).

4288440 is an abundant number, since it is smaller than the sum of its proper divisors (9571560).

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

4288440 is a wasteful number, since it uses less digits than its factorization.

4288440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 4288440 is about 2070.8548959307. The cubic root of 4288440 is about 162.4674806722.

It can be divided in two parts, 42884 and 40, that added together give a palindrome (42924).

The spelling of 4288440 in words is "four million, two hundred eighty-eight thousand, four hundred forty".