4472688 has 80 divisors (see below), whose sum is σ = 12963456. Its totient is φ = 1317120.

The previous prime is 4472687. The next prime is 4472693. The reversal of 4472688 is 8862744.

Its product of digits (86016) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472687) 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 15 ways as a sum of consecutive naturals, for example, 22606 + ... + 22802.

Almost surely, 2^4472688 is an apocalyptic number.

4472688 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 4472688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481728).

4472688 is an abundant number, since it is smaller than the sum of its proper divisors (8490768).

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

4472688 is a wasteful number, since it uses less digits than its factorization.

4472688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 4472688 is about 2114.8730458351. The cubic root of 4472688 is about 164.7616761359.

The spelling of 4472688 in words is "four million, four hundred seventy-two thousand, six hundred eighty-eight".