45392544 has 72 divisors (see below), whose sum is σ = 129778740. Its totient is φ = 15049728.

The previous prime is 45392537. The next prime is 45392549. The reversal of 45392544 is 44529354.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 5702544 = 6300^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 45392499 and 45392508.

It is not an unprimeable number, because it can be changed into a prime (45392549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79492 + ... + 80060.

Almost surely, 2^45392544 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 45392544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64889370).

45392544 is an abundant number, since it is smaller than the sum of its proper divisors (84386196).

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

45392544 is a wasteful number, since it uses less digits than its factorization.

45392544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45392544 is about 6737.3989046219. The cubic root of 45392544 is about 356.7205873390.

The spelling of 45392544 in words is "forty-five million, three hundred ninety-two thousand, five hundred forty-four".