4582368 has 72 divisors (see below), whose sum is σ = 14899248. Its totient is φ = 1308672.

The previous prime is 4582351. The next prime is 4582387. The reversal of 4582368 is 8632854.

4582368 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4¹⁰ + 5⁹ + 8⁶ + 2²⁰ + 3³ + 6⁵ + 8⁶ .

4582368 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880 + ... + 3152.

It is an arithmetic number, because the mean of its divisors is an integer number (206934).

Almost surely, 2^4582368 is an apocalyptic number.

4582368 is a gapful number since it is divisible by the number (48) 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 4582368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449624).

4582368 is an abundant number, since it is smaller than the sum of its proper divisors (10316880).

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

4582368 is a wasteful number, since it uses less digits than its factorization.

4582368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2285 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4582368 is about 2140.6466312776. The cubic root of 4582368 is about 166.0975862073.

It can be divided in two parts, 4582 and 368, that added together give a triangular number (4950 = T₉₉).

The spelling of 4582368 in words is "four million, five hundred eighty-two thousand, three hundred sixty-eight".