4431264 has 48 divisors (see below), whose sum is σ = 12015360. Its totient is φ = 1428480.

The previous prime is 4431257. The next prime is 4431269. The reversal of 4431264 is 4621344.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4431264² = 39272201275392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2232 + ... + 3720.

It is an arithmetic number, because the mean of its divisors is an integer number (250320).

Almost surely, 2^4431264 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 4431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007680).

4431264 is an abundant number, since it is smaller than the sum of its proper divisors (7584096).

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

4431264 is a wasteful number, since it uses less digits than its factorization.

4431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1525 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4431264 is about 2105.0567688307. The cubic root of 4431264 is about 164.2514485021.

The spelling of 4431264 in words is "four million, four hundred thirty-one thousand, two hundred sixty-four".