4442688 has 70 divisors (see below), whose sum is σ = 13184886. Its totient is φ = 1479168.

The previous prime is 4442681. The next prime is 4442689. The reversal of 4442688 is 8862444.

It can be written as a sum of positive squares in only one way, i.e., 4359744 + 82944 = 2088^2 + 288^2 .

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 a d-powerful number, because it can be written as 4⁶ + 4⁸ + 4¹¹ + 2¹⁷ + 6⁶ + 8³ + 8³ .

It is not an unprimeable number, because it can be changed into a prime (4442681) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4756 + ... + 5612.

Almost surely, 2^4442688 is an apocalyptic number.

4442688 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 4442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592443).

4442688 is an abundant number, since it is smaller than the sum of its proper divisors (8742198).

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

4442688 is an equidigital number, since it uses as much as digits as its factorization.

4442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 862 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4442688 is about 2107.7684882358. The cubic root of 4442688 is about 164.3924766124.

The spelling of 4442688 in words is "four million, four hundred forty-two thousand, six hundred eighty-eight".