45044736 has 176 divisors, whose sum is σ = 138344448. Its totient is φ = 12902400.

The previous prime is 45044719. The next prime is 45044803. The reversal of 45044736 is 63744054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 45044697 and 45044706.

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, 1047531 + ... + 1047573.

It is an arithmetic number, because the mean of its divisors is an integer number (786048).

Almost surely, 2^45044736 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 45044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69172224).

45044736 is an abundant number, since it is smaller than the sum of its proper divisors (93299712).

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

45044736 is a wasteful number, since it uses less digits than its factorization.

45044736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 45044736 is about 6711.5375287634. The cubic root of 45044736 is about 355.8071589518.

The spelling of 45044736 in words is "forty-five million, forty-four thousand, seven hundred thirty-six".