45600288 has 48 divisors (see below), whose sum is σ = 120911616. Its totient is φ = 15046400.

The previous prime is 45600277. The next prime is 45600319. The reversal of 45600288 is 88200654.

45600288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7345 + ... + 12047.

It is an arithmetic number, because the mean of its divisors is an integer number (2518992).

Almost surely, 2^45600288 is an apocalyptic number.

45600288 is a gapful number since it is divisible by the number (48) 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 45600288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60455808).

45600288 is an abundant number, since it is smaller than the sum of its proper divisors (75311328).

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

45600288 is a wasteful number, since it uses less digits than its factorization.

45600288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 45600288 is about 6752.7985309796. The cubic root of 45600288 is about 357.2639496731.

The spelling of 45600288 in words is "forty-five million, six hundred thousand, two hundred eighty-eight".