45518880 has 192 divisors, whose sum is σ = 161336448. Its totient is φ = 10690560.

The previous prime is 45518849. The next prime is 45518887. The reversal of 45518880 is 8881554.

It is not an unprimeable number, because it can be changed into a prime (45518887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195244 + ... + 195476.

It is an arithmetic number, because the mean of its divisors is an integer number (840294).

Almost surely, 2^45518880 is an apocalyptic number.

45518880 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 45518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

45518880 is an abundant number, since it is smaller than the sum of its proper divisors (115817568).

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

45518880 is a wasteful number, since it uses less digits than its factorization.

45518880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 45518880 is about 6746.7681151793. The cubic root of 45518880 is about 357.0512209851.

It can be divided in two parts, 4551 and 8880, that added together give a palindrome (13431).

The spelling of 45518880 in words is "forty-five million, five hundred eighteen thousand, eight hundred eighty".