4590880 has 48 divisors (see below), whose sum is σ = 12398400. Its totient is φ = 1573632.

The previous prime is 4590877. The next prime is 4590889. The reversal of 4590880 is 880954.

It is not an unprimeable number, because it can be changed into a prime (4590889) 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 7 ways as a sum of consecutive naturals, for example, 930 + ... + 3169.

It is an arithmetic number, because the mean of its divisors is an integer number (258300).

Almost surely, 2^4590880 is an apocalyptic number.

4590880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4590880 is an abundant number, since it is smaller than the sum of its proper divisors (7807520).

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

4590880 is a wasteful number, since it uses less digits than its factorization.

4590880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 4590880 is about 2142.6338931325. The cubic root of 4590880 is about 166.2003677195.

The spelling of 4590880 in words is "four million, five hundred ninety thousand, eight hundred eighty".