45840300 has 144 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 10707200.

The previous prime is 45840287. The next prime is 45840317. The reversal of 45840300 is 304854.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95461 + ... + 95939.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^45840300 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 45840300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

45840300 is an abundant number, since it is smaller than the sum of its proper divisors (104150100).

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

45840300 is a wasteful number, since it uses less digits than its factorization.

45840300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45840300 is about 6770.5465067452. The cubic root of 45840300 is about 357.8896594086.

The spelling of 45840300 in words is "forty-five million, eight hundred forty thousand, three hundred".