4582464 has 56 divisors (see below), whose sum is σ = 12557760. Its totient is φ = 1473024.

The previous prime is 4582463. The next prime is 4582481. The reversal of 4582464 is 4642854.

It is a super-2 number, since 2×4582464² = 41997952622592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4582463) 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, 5157 + ... + 5979.

Almost surely, 2^4582464 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 4582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278880).

4582464 is an abundant number, since it is smaller than the sum of its proper divisors (7975296).

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

4582464 is a wasteful number, since it uses less digits than its factorization.

4582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 4582464 is about 2140.6690542912. The cubic root of 4582464 is about 166.0987461066.

The spelling of 4582464 in words is "four million, five hundred eighty-two thousand, four hundred sixty-four".