45724008 has 128 divisors (see below), whose sum is σ = 133079040. Its totient is φ = 12960000.

The previous prime is 45723983. The next prime is 45724043. The reversal of 45724008 is 80042754.

45724008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302733 + ... + 302883.

It is an arithmetic number, because the mean of its divisors is an integer number (1039680).

Almost surely, 2^45724008 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 45724008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66539520).

45724008 is an abundant number, since it is smaller than the sum of its proper divisors (87355032).

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

45724008 is a wasteful number, since it uses less digits than its factorization.

45724008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45724008 is about 6761.9529723298. The cubic root of 45724008 is about 357.5867603664.

The spelling of 45724008 in words is "forty-five million, seven hundred twenty-four thousand, eight".