4182264 has 48 divisors (see below), whose sum is σ = 11723400. Its totient is φ = 1345344.

The previous prime is 4182263. The next prime is 4182271. The reversal of 4182264 is 4622814.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087 + ... + 3089.

Almost surely, 2^4182264 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 4182264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861700).

4182264 is an abundant number, since it is smaller than the sum of its proper divisors (7541136).

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

4182264 is a wasteful number, since it uses less digits than its factorization.

4182264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2037 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4182264 is about 2045.0584343730. The cubic root of 4182264 is about 161.1154348776.

The spelling of 4182264 in words is "four million, one hundred eighty-two thousand, two hundred sixty-four".