4000320 has 112 divisors (see below), whose sum is σ = 14142720. Its totient is φ = 1064448.

The previous prime is 4000309. The next prime is 4000343. The reversal of 4000320 is 230004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8409 + ... + 8871.

Almost surely, 2^4000320 is an apocalyptic number.

4000320 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 4000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071360).

4000320 is an abundant number, since it is smaller than the sum of its proper divisors (10142400).

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

4000320 is a wasteful number, since it uses less digits than its factorization.

4000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4000320 is about 2000.0799984001. The cubic root of 4000320 is about 158.7443381534.

Adding to 4000320 its reverse (230004), we get a palindrome (4230324).

The spelling of 4000320 in words is "four million, three hundred twenty", and thus it is an aban number.