4590080 has 80 divisors (see below), whose sum is σ = 12079584. Its totient is φ = 1658880.

The previous prime is 4590071. The next prime is 4590101. The reversal of 4590080 is 800954.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 28079 + ... + 28241.

Almost surely, 2^4590080 is an apocalyptic number.

4590080 is a gapful number since it is divisible by the number (40) 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 4590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039792).

4590080 is an abundant number, since it is smaller than the sum of its proper divisors (7489504).

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

4590080 is a wasteful number, since it uses less digits than its factorization.

4590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 4590080 is about 2142.4471988826. The cubic root of 4590080 is about 166.1907132148.

The spelling of 4590080 in words is "four million, five hundred ninety thousand, eighty".