4461312 has 72 divisors (see below), whose sum is σ = 12272176. Its totient is φ = 1437696.

The previous prime is 4461307. The next prime is 4461313. The reversal of 4461312 is 2131644.

It is a super-2 number, since 2×4461312² = 39806609522688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4461313) 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, 28338 + ... + 28494.

Almost surely, 2^4461312 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 4461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136088).

4461312 is an abundant number, since it is smaller than the sum of its proper divisors (7810864).

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

4461312 is a wasteful number, since it uses less digits than its factorization.

4461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4461312 is about 2112.1818103563. The cubic root of 4461312 is about 164.6218705606.

Adding to 4461312 its reverse (2131644), we get a palindrome (6592956).

The spelling of 4461312 in words is "four million, four hundred sixty-one thousand, three hundred twelve".