45493344 has 144 divisors (see below), whose sum is σ = 144471600. Its totient is φ = 13483008.

The previous prime is 45493339. The next prime is 45493363. The reversal of 45493344 is 44339454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 45493299 and 45493308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108367 + ... + 108785.

It is an arithmetic number, because the mean of its divisors is an integer number (1003275).

Almost surely, 2^45493344 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 45493344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72235800).

45493344 is an abundant number, since it is smaller than the sum of its proper divisors (98978256).

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

45493344 is a wasteful number, since it uses less digits than its factorization.

45493344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 45493344 is about 6744.8753880261. The cubic root of 45493344 is about 356.9844401570.

The spelling of 45493344 in words is "forty-five million, four hundred ninety-three thousand, three hundred forty-four".