45360224 has 96 divisors (see below), whose sum is σ = 113150016. Its totient is φ = 17418240.

The previous prime is 45360193. The next prime is 45360257. The reversal of 45360224 is 42206354.

It is a Cunningham number, because it is equal to 6735²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 45360193 and 45360202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107534 + ... + 107954.

It is an arithmetic number, because the mean of its divisors is an integer number (1178646).

Almost surely, 2^45360224 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 45360224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56575008).

45360224 is an abundant number, since it is smaller than the sum of its proper divisors (67789792).

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

45360224 is a wasteful number, since it uses less digits than its factorization.

45360224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 45360224 is about 6734.9999257609. Note that the first 4 decimals coincide. The cubic root of 45360224 is about 356.6359042188.

Adding to 45360224 its reverse (42206354), we get a palindrome (87566578).

The spelling of 45360224 in words is "forty-five million, three hundred sixty thousand, two hundred twenty-four".