4476320 has 48 divisors (see below), whose sum is σ = 10718568. Its totient is φ = 1766400.

The previous prime is 4476319. The next prime is 4476331. The reversal of 4476320 is 236744.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3952144 + 524176 = 1988^2 + 724^2 .

It is a d-powerful number, because it can be written as 4² + 4¹¹ + 7 + 6⁷ + 3² + 2¹¹ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4476320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16022 + ... + 16298.

Almost surely, 2^4476320 is an apocalyptic number.

4476320 is a gapful number since it is divisible by the number (40) 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 4476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359284).

4476320 is an abundant number, since it is smaller than the sum of its proper divisors (6242248).

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

4476320 is a wasteful number, since it uses less digits than its factorization.

4476320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 4476320 is about 2115.7315519697. The cubic root of 4476320 is about 164.8062617409.

The spelling of 4476320 in words is "four million, four hundred seventy-six thousand, three hundred twenty".