45666000 has 240 divisors, whose sum is σ = 165971520. Its totient is φ = 11692800.

The previous prime is 45665947. The next prime is 45666001. The reversal of 45666000 is 66654.

45666000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45666001) 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 47 ways as a sum of consecutive naturals, for example, 773971 + ... + 774029.

It is an arithmetic number, because the mean of its divisors is an integer number (691548).

Almost surely, 2^45666000 is an apocalyptic number.

45666000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82985760).

45666000 is an abundant number, since it is smaller than the sum of its proper divisors (120305520).

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

45666000 is a wasteful number, since it uses less digits than its factorization.

45666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45666000 is about 6757.6623176954. The cubic root of 45666000 is about 357.4354782738.

The spelling of 45666000 in words is "forty-five million, six hundred sixty-six thousand".