4002320 has 60 divisors (see below), whose sum is σ = 10835244. Its totient is φ = 1370880.

The previous prime is 4002307. The next prime is 4002329. The reversal of 4002320 is 232004.

It can be written as a sum of positive squares in 2 ways, for example, as 1882384 + 2119936 = 1372^2 + 1456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3410 + ... + 4430.

Almost surely, 2^4002320 is an apocalyptic number.

4002320 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 4002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417622).

4002320 is an abundant number, since it is smaller than the sum of its proper divisors (6832924).

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

4002320 is a wasteful number, since it uses less digits than its factorization.

4002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 4002320 is about 2000.5799159244. The cubic root of 4002320 is about 158.7707890191.

Adding to 4002320 its reverse (232004), we get a palindrome (4234324).

The spelling of 4002320 in words is "four million, two thousand, three hundred twenty".