45445752 has 128 divisors (see below), whose sum is σ = 142387200. Its totient is φ = 13305600.

The previous prime is 45445747. The next prime is 45445759. The reversal of 45445752 is 25754454.

It is a happy number.

45445752 is a `hidden beast` number, since 45 + 44 + 575 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45445759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73348 + ... + 73964.

It is an arithmetic number, because the mean of its divisors is an integer number (1112400).

Almost surely, 2^45445752 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 45445752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71193600).

45445752 is an abundant number, since it is smaller than the sum of its proper divisors (96941448).

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

45445752 is a wasteful number, since it uses less digits than its factorization.

45445752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 45445752 is about 6741.3464530463. The cubic root of 45445752 is about 356.8599125530.

It can be divided in two parts, 4544 and 5752, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 45445752 in words is "forty-five million, four hundred forty-five thousand, seven hundred fifty-two".