45879344 has 80 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 18819840.

The previous prime is 45879343. The next prime is 45879359. The reversal of 45879344 is 44397854.

Its product of digits (483840) is a multiple of the sum of its prime divisors (252).

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 45879295 and 45879304.

It is not an unprimeable number, because it can be changed into a prime (45879343) 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, 350159 + ... + 350289.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^45879344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45879344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

45879344 is an abundant number, since it is smaller than the sum of its proper divisors (60185296).

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

45879344 is a wasteful number, since it uses less digits than its factorization.

45879344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 45879344 is about 6773.4292644125. The cubic root of 45879344 is about 357.9912401756.

It can be divided in two parts, 4587 and 9344, that added together give a palindrome (13931).

The spelling of 45879344 in words is "forty-five million, eight hundred seventy-nine thousand, three hundred forty-four".