45840288 has 96 divisors (see below), whose sum is σ = 135305856. Its totient is φ = 13483008.

The previous prime is 45840287. The next prime is 45840317. The reversal of 45840288 is 88204854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45840281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27906 + ... + 29502.

It is an arithmetic number, because the mean of its divisors is an integer number (1409436).

Almost surely, 2^45840288 is an apocalyptic number.

45840288 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 45840288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67652928).

45840288 is an abundant number, since it is smaller than the sum of its proper divisors (89465568).

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

45840288 is a wasteful number, since it uses less digits than its factorization.

45840288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 45840288 is about 6770.5456205538. The cubic root of 45840288 is about 357.8896281794.

The spelling of 45840288 in words is "forty-five million, eight hundred forty thousand, two hundred eighty-eight".