45091800 has 288 divisors, whose sum is σ = 170614080. Its totient is φ = 10598400.

The previous prime is 45091777. The next prime is 45091829. The reversal of 45091800 is 819054.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 959377 + ... + 959423.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 2^45091800 is an apocalyptic number.

45091800 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 45091800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

45091800 is an abundant number, since it is smaller than the sum of its proper divisors (125522280).

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

45091800 is a wasteful number, since it uses less digits than its factorization.

45091800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 45091800 is about 6715.0428144577. The cubic root of 45091800 is about 355.9310349091.

The spelling of 45091800 in words is "forty-five million, ninety-one thousand, eight hundred".