4000329 has 24 divisors (see below), whose sum is σ = 6099912. Its totient is φ = 2522880.

The previous prime is 4000309. The next prime is 4000343. The reversal of 4000329 is 9230004.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 2673225 = 1152^2 + 1635^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4000329 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13507 + ... + 13799.

It is an arithmetic number, because the mean of its divisors is an integer number (254163).

Almost surely, 2^4000329 is an apocalyptic number.

It is an amenable number.

4000329 is a deficient number, since it is larger than the sum of its proper divisors (2099583).

4000329 is a wasteful number, since it uses less digits than its factorization.

4000329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4000329 is about 2000.0822483088. The cubic root of 4000329 is about 158.7444572021.

The spelling of 4000329 in words is "four million, three hundred twenty-nine", and thus it is an aban number.