4264480 has 48 divisors (see below), whose sum is σ = 10995264. Its totient is φ = 1550080.

The previous prime is 4264471. The next prime is 4264487. The reversal of 4264480 is 844624.

4264480 = 251² + 252² + ... + 305².

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4264487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549 + ... + 2971.

It is an arithmetic number, because the mean of its divisors is an integer number (229068).

Almost surely, 2^4264480 is an apocalyptic number.

4264480 is a gapful number since it is divisible by the number (40) 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 4264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497632).

4264480 is an abundant number, since it is smaller than the sum of its proper divisors (6730784).

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

4264480 is a wasteful number, since it uses less digits than its factorization.

4264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 4264480 is about 2065.0617424184. The cubic root of 4264480 is about 162.1643406714.

It can be divided in two parts, 42644 and 80, that added together give a palindrome (42724).

The spelling of 4264480 in words is "four million, two hundred sixty-four thousand, four hundred eighty".