45001440 has 192 divisors, whose sum is σ = 172005120. Its totient is φ = 10897920.

The previous prime is 45001403. The next prime is 45001441. The reversal of 45001440 is 4410054.

45001440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45001441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 47047 + ... + 47993.

It is an arithmetic number, because the mean of its divisors is an integer number (895860).

Almost surely, 2^45001440 is an apocalyptic number.

45001440 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 45001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

45001440 is an abundant number, since it is smaller than the sum of its proper divisors (127003680).

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

45001440 is a wasteful number, since it uses less digits than its factorization.

45001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45001440 is about 6708.3112629037. The cubic root of 45001440 is about 355.6931244281.

Adding to 45001440 its reverse (4410054), we get a palindrome (49411494).

It can be divided in two parts, 450014 and 40, that added together give a palindrome (450054).

The spelling of 45001440 in words is "forty-five million, one thousand, four hundred forty".