4004303424 has 112 divisors (see below), whose sum is σ = 11596274496. Its totient is φ = 1209395200.

The previous prime is 4004303423. The next prime is 4004303453. The reversal of 4004303424 is 4243034004.

It is a happy number.

It is a super-2 number, since 2×4004303424² = 32068891822916247552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4004303394 and 4004303403.

It is not an unprimeable number, because it can be changed into a prime (4004303423) 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, 666514 + ... + 672494.

Almost surely, 2^4004303424 is an apocalyptic number.

4004303424 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 4004303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798137248).

4004303424 is an abundant number, since it is smaller than the sum of its proper divisors (7591971072).

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

4004303424 is a wasteful number, since it uses less digits than its factorization.

4004303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4004303424 is about 63279.5656116570. The cubic root of 4004303424 is about 1587.9701195874.

Adding to 4004303424 its reverse (4243034004), we get a palindrome (8247337428).

The spelling of 4004303424 in words is "four billion, four million, three hundred three thousand, four hundred twenty-four".