4000304 has 80 divisors (see below), whose sum is σ = 10285056. Its totient is φ = 1459200.

The previous prime is 4000303. The next prime is 4000309. The reversal of 4000304 is 4030004.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (4000301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20849 + ... + 21039.

Almost surely, 2^4000304 is an apocalyptic number.

4000304 is a gapful number since it is divisible by the number (44) 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 4000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142528).

4000304 is an abundant number, since it is smaller than the sum of its proper divisors (6284752).

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

4000304 is a wasteful number, since it uses less digits than its factorization.

4000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

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

The square root of 4000304 is about 2000.0759985561. The cubic root of 4000304 is about 158.7441265109.

Adding to 4000304 its reverse (4030004), we get a palindrome (8030308).

The spelling of 4000304 in words is "four million, three hundred four", and thus it is an aban number.