45000288 has 144 divisors (see below), whose sum is σ = 135940896. Its totient is φ = 14100480.

The previous prime is 45000287. The next prime is 45000299. The reversal of 45000288 is 88200054.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436845 + ... + 436947.

It is an arithmetic number, because the mean of its divisors is an integer number (944034).

Almost surely, 2^45000288 is an apocalyptic number.

45000288 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 45000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448).

45000288 is an abundant number, since it is smaller than the sum of its proper divisors (90940608).

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

45000288 is a wasteful number, since it uses less digits than its factorization.

45000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45000288 is about 6708.2253987176. The cubic root of 45000288 is about 355.6900892513.

It can be divided in two parts, 45000 and 288, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 45000288 in words is "forty-five million, two hundred eighty-eight", and thus it is an aban number.