4538880 has 120 divisors (see below), whose sum is σ = 15799212. Its totient is φ = 1204224.

The previous prime is 4538851. The next prime is 4538887. The reversal of 4538880 is 888354.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 278784 = 2064^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4538887) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22942 + ... + 23138.

Almost surely, 2^4538880 is an apocalyptic number.

4538880 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 4538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899606).

4538880 is an abundant number, since it is smaller than the sum of its proper divisors (11260332).

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

4538880 is a wasteful number, since it uses less digits than its factorization.

4538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4538880 is about 2130.4647380325. The cubic root of 4538880 is about 165.5704771287.

The spelling of 4538880 in words is "four million, five hundred thirty-eight thousand, eight hundred eighty".