4059264 has 96 divisors (see below), whose sum is σ = 12154320. Its totient is φ = 1190400.

The previous prime is 4059229. The next prime is 4059271. The reversal of 4059264 is 4629504.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130929 + ... + 130959.

Almost surely, 2^4059264 is an apocalyptic number.

4059264 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 4059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077160).

4059264 is an abundant number, since it is smaller than the sum of its proper divisors (8095056).

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

4059264 is a wasteful number, since it uses less digits than its factorization.

4059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4059264 is about 2014.7615243497. The cubic root of 4059264 is about 159.5202294812.

It can be divided in two parts, 405 and 9264, that added together give a palindrome (9669).

The spelling of 4059264 in words is "four million, fifty-nine thousand, two hundred sixty-four".