4476085920 has 240 divisors, whose sum is σ = 15918470568. Its totient is φ = 1184440320.

The previous prime is 4476085919. The next prime is 4476085921. The reversal of 4476085920 is 295806744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4476085919) and next prime (4476085921).

It can be written as a sum of positive squares in 4 ways, for example, as 2180142864 + 2295943056 = 46692^2 + 47916^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4476085921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1774260 + ... + 1776780.

Almost surely, 2^4476085920 is an apocalyptic number.

4476085920 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 4476085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959235284).

4476085920 is an abundant number, since it is smaller than the sum of its proper divisors (11442384648).

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

4476085920 is a wasteful number, since it uses less digits than its factorization.

4476085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4476085920 is about 66903.5568561194. The cubic root of 4476085920 is about 1648.0338895535.

The spelling of 4476085920 in words is "four billion, four hundred seventy-six million, eighty-five thousand, nine hundred twenty".