45888 has 28 divisors (see below), whose sum is σ = 121920. Its totient is φ = 15232.

The previous prime is 45887. The next prime is 45893. The reversal of 45888 is 88854.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 311.

2⁴⁵⁸⁸⁸ is an apocalyptic number.

45888 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 45888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960).

45888 is an abundant number, since it is smaller than the sum of its proper divisors (76032).

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

45888 is a wasteful number, since it uses less digits than its factorization.

45888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 45888 is about 214.2148454239. The cubic root of 45888 is about 35.8013752684.

It can be divided in two parts, 458 and 88, that multiplied together give a palindrome (40304).

The spelling of 45888 in words is "forty-five thousand, eight hundred eighty-eight".