4406472 has 72 divisors (see below), whose sum is σ = 13893750. Its totient is φ = 1257984.

The previous prime is 4406459. The next prime is 4406477. The reversal of 4406472 is 2746044.

It can be written as a sum of positive squares in only one way, i.e., 3896676 + 509796 = 1974^2 + 714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4406477) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2904 + ... + 4152.

Almost surely, 2^4406472 is an apocalyptic number.

4406472 is a gapful number since it is divisible by the number (42) 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 4406472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946875).

4406472 is an abundant number, since it is smaller than the sum of its proper divisors (9487278).

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

4406472 is a wasteful number, since it uses less digits than its factorization.

4406472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4406472 is about 2099.1598319328. The cubic root of 4406472 is about 163.9445579002.

The spelling of 4406472 in words is "four million, four hundred six thousand, four hundred seventy-two".