4476960 has 72 divisors (see below), whose sum is σ = 15282540. Its totient is φ = 1193472.

The previous prime is 4476959. The next prime is 4476961. The reversal of 4476960 is 696744.

It is an interprime number because it is at equal distance from previous prime (4476959) and next prime (4476961).

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 266256 = 2052^2 + 516^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (4476961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115 + ... + 2994.

Almost surely, 2^4476960 is an apocalyptic number.

4476960 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 4476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641270).

4476960 is an abundant number, since it is smaller than the sum of its proper divisors (10805580).

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

4476960 is a wasteful number, since it uses less digits than its factorization.

4476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4476960 is about 2115.8827944856. The cubic root of 4476960 is about 164.8141157356.

The spelling of 4476960 in words is "four million, four hundred seventy-six thousand, nine hundred sixty".