4476472 has 96 divisors (see below), whose sum is σ = 11594880. Its totient is φ = 1572480.

The previous prime is 4476463. The next prime is 4476473. The reversal of 4476472 is 2746744.

It is a d-powerful number, because it can be written as 4³ + 4³ + 7 + 6⁷ + 4¹¹ + 7² + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4476473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104083 + ... + 104125.

It is an arithmetic number, because the mean of its divisors is an integer number (120780).

Almost surely, 2^4476472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4476472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797440).

4476472 is an abundant number, since it is smaller than the sum of its proper divisors (7118408).

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

4476472 is a wasteful number, since it uses less digits than its factorization.

4476472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its digits is 37632, while the sum is 34.

The square root of 4476472 is about 2115.7674730461. The cubic root of 4476472 is about 164.8081271324.

The spelling of 4476472 in words is "four million, four hundred seventy-six thousand, four hundred seventy-two".