4000434 has 32 divisors (see below), whose sum is σ = 8406720. Its totient is φ = 1267392.

The previous prime is 4000379. The next prime is 4000439. The reversal of 4000434 is 4340004.

4000434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×4000434⁴ (a number of 28 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4000439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14304 + ... + 14580.

It is an arithmetic number, because the mean of its divisors is an integer number (262710).

Almost surely, 2^4000434 is an apocalyptic number.

4000434 is an abundant number, since it is smaller than the sum of its proper divisors (4406286).

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

4000434 is a wasteful number, since it uses less digits than its factorization.

4000434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4000434 is about 2000.1084970571. The cubic root of 4000434 is about 158.7458460897.

Adding to 4000434 its reverse (4340004), we get a palindrome (8340438).

The spelling of 4000434 in words is "four million, four hundred thirty-four", and thus it is an aban number.