45259344 has 80 divisors (see below), whose sum is σ = 139921600. Its totient is φ = 13924224.

The previous prime is 45259309. The next prime is 45259363. The reversal of 45259344 is 44395254.

It is a happy number.

45259344 is a `hidden beast` number, since 4 + 525 + 93 + 44 = 666.

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 = 45259299 and 45259308.

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 15 ways as a sum of consecutive naturals, for example, 1587 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (1749020).

Almost surely, 2^45259344 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 45259344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69960800).

45259344 is an abundant number, since it is smaller than the sum of its proper divisors (94662256).

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

45259344 is a wasteful number, since it uses less digits than its factorization.

45259344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8089 (or 8077 counting only the distinct ones).

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

The square root of 45259344 is about 6727.5065217360. The cubic root of 45259344 is about 356.3713248818.

The spelling of 45259344 in words is "forty-five million, two hundred fifty-nine thousand, three hundred forty-four".