45358208 has 128 divisors (see below), whose sum is σ = 112803840. Its totient is φ = 17740800.

The previous prime is 45358207. The next prime is 45358217. The reversal of 45358208 is 80285354.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (45358207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638813 + ... + 638883.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 2^45358208 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 45358208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56401920).

45358208 is an abundant number, since it is smaller than the sum of its proper divisors (67445632).

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

45358208 is a wasteful number, since it uses less digits than its factorization.

45358208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 45358208 is about 6734.8502581720. The cubic root of 45358208 is about 356.6306206718.

The spelling of 45358208 in words is "forty-five million, three hundred fifty-eight thousand, two hundred eight".