4559990880 has 288 divisors, whose sum is σ = 15731573760. Its totient is φ = 1106058240.

The previous prime is 4559990863. The next prime is 4559990887. The reversal of 4559990880 is 880999554.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4559990880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4559990887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35905377 + ... + 35905503.

It is an arithmetic number, because the mean of its divisors is an integer number (54623520).

Almost surely, 2^4559990880 is an apocalyptic number.

4559990880 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 4559990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865786880).

4559990880 is an abundant number, since it is smaller than the sum of its proper divisors (11171582880).

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

4559990880 is a wasteful number, since it uses less digits than its factorization.

4559990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The square root of 4559990880 is about 67527.7045367307. The cubic root of 4559990880 is about 1658.2677628566.

The spelling of 4559990880 in words is "four billion, five hundred fifty-nine million, nine hundred ninety thousand, eight hundred eighty".