4476672 has 108 divisors (see below), whose sum is σ = 13551720. Its totient is φ = 1419264.

The previous prime is 4476671. The next prime is 4476677. The reversal of 4476672 is 2766744.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 4² + 4¹¹ + 7 + 6 + 6⁷ + 7⁴ + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4476671) 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 11 ways as a sum of consecutive naturals, for example, 66783 + ... + 66849.

Almost surely, 2^4476672 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 4476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775860).

4476672 is an abundant number, since it is smaller than the sum of its proper divisors (9075048).

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

4476672 is a wasteful number, since it uses less digits than its factorization.

4476672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 4476672 is about 2115.8147366913. The cubic root of 4476672 is about 164.8105815306.

The spelling of 4476672 in words is "four million, four hundred seventy-six thousand, six hundred seventy-two".