45288544 has 72 divisors (see below), whose sum is σ = 109884600. Its totient is φ = 18256896.

The previous prime is 45288521. The next prime is 45288599. The reversal of 45288544 is 44588254.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45288497 and 45288506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25807 + ... + 27505.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^45288544 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 45288544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54942300).

45288544 is an abundant number, since it is smaller than the sum of its proper divisors (64596056).

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

45288544 is a wasteful number, since it uses less digits than its factorization.

45288544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1725 counting only the distinct ones).

The product of its digits is 204800, while the sum is 40.

The square root of 45288544 is about 6729.6763666613. The cubic root of 45288544 is about 356.4479485111.

It can be divided in two parts, 452885 and 44, that added together give a square (452929 = 673²).

The spelling of 45288544 in words is "forty-five million, two hundred eighty-eight thousand, five hundred forty-four".