4029264 has 50 divisors (see below), whose sum is σ = 11665610. Its totient is φ = 1342656.

The previous prime is 4029253. The next prime is 4029271. The reversal of 4029264 is 4629204.

It can be written as a sum of positive squares in only one way, i.e., 2862864 + 1166400 = 1692^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 259 + ... + 2850.

Almost surely, 2^4029264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4029264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832805).

4029264 is an abundant number, since it is smaller than the sum of its proper divisors (7636346).

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

4029264 is a wasteful number, since it uses less digits than its factorization.

4029264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4029264 is about 2007.3026677609. The cubic root of 4029264 is about 159.1262791759.

The spelling of 4029264 in words is "four million, twenty-nine thousand, two hundred sixty-four".