4580352 has 132 divisors (see below), whose sum is σ = 15327936. Its totient is φ = 1290240.

The previous prime is 4580351. The next prime is 4580357. The reversal of 4580352 is 2530854.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4580351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64477 + ... + 64547.

Almost surely, 2^4580352 is an apocalyptic number.

4580352 is a gapful number since it is divisible by the number (42) 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 4580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663968).

4580352 is an abundant number, since it is smaller than the sum of its proper divisors (10747584).

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

4580352 is a wasteful number, since it uses less digits than its factorization.

4580352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4580352 is about 2140.1756937224. The cubic root of 4580352 is about 166.0732245780.

The spelling of 4580352 in words is "four million, five hundred eighty thousand, three hundred fifty-two".