4266288 has 120 divisors (see below), whose sum is σ = 13405392. Its totient is φ = 1257984.

The previous prime is 4266287. The next prime is 4266289. The reversal of 4266288 is 8826624.

4266288 is a `hidden beast` number, since 4 + 26 + 628 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4266287) and next prime (4266289).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4266287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80470 + ... + 80522.

Almost surely, 2^4266288 is an apocalyptic number.

4266288 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 4266288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696).

4266288 is an abundant number, since it is smaller than the sum of its proper divisors (9139104).

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

4266288 is a wasteful number, since it uses less digits than its factorization.

4266288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4266288 is about 2065.4994553376. The cubic root of 4266288 is about 162.1872548918.

It can be divided in two parts, 4266 and 288, that added together give a palindrome (4554).

The spelling of 4266288 in words is "four million, two hundred sixty-six thousand, two hundred eighty-eight".