45574800 has 120 divisors (see below), whose sum is σ = 147517344. Its totient is φ = 12026880.

The previous prime is 45574759. The next prime is 45574811. The reversal of 45574800 is 847554.

45574800 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 (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 195484 + ... + 195716.

Almost surely, 2^45574800 is an apocalyptic number.

45574800 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 45574800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73758672).

45574800 is an abundant number, since it is smaller than the sum of its proper divisors (101942544).

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

45574800 is a wasteful number, since it uses less digits than its factorization.

45574800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45574800 is about 6750.9110496288. The cubic root of 45574800 is about 357.1973737730.

The spelling of 45574800 in words is "forty-five million, five hundred seventy-four thousand, eight hundred".