45709568 has 72 divisors (see below), whose sum is σ = 97130880. Its totient is φ = 21432320.

The previous prime is 45709567. The next prime is 45709591. The reversal of 45709568 is 86590754.

It is not an unprimeable number, because it can be changed into a prime (45709561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 348863 + ... + 348993.

It is an arithmetic number, because the mean of its divisors is an integer number (1349040).

Almost surely, 2^45709568 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 45709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48565440).

45709568 is an abundant number, since it is smaller than the sum of its proper divisors (51421312).

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

45709568 is a wasteful number, since it uses less digits than its factorization.

45709568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 45709568 is about 6760.8851491502. The cubic root of 45709568 is about 357.5491135028.

The spelling of 45709568 in words is "forty-five million, seven hundred nine thousand, five hundred sixty-eight".