45694500 has 96 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 11872000.

The previous prime is 45694499. The next prime is 45694501. The reversal of 45694500 is 549654.

45694500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45694499) and next prime (45694501).

It is not an unprimeable number, because it can be changed into a prime (45694501) by changing a digit.

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, 61129 + ... + 61871.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^45694500 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 45694500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

45694500 is an abundant number, since it is smaller than the sum of its proper divisors (90796764).

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

45694500 is a wasteful number, since it uses less digits than its factorization.

45694500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 45694500 is about 6759.7707061704. The cubic root of 45694500 is about 357.5098209114.

The spelling of 45694500 in words is "forty-five million, six hundred ninety-four thousand, five hundred".