45565800 has 192 divisors, whose sum is σ = 170227200. Its totient is φ = 9849600.

The previous prime is 45565799. The next prime is 45565837. The reversal of 45565800 is 856554.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79515 + ... + 80085.

It is an arithmetic number, because the mean of its divisors is an integer number (886600).

Almost surely, 2^45565800 is an apocalyptic number.

45565800 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 45565800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85113600).

45565800 is an abundant number, since it is smaller than the sum of its proper divisors (124661400).

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

45565800 is a wasteful number, since it uses less digits than its factorization.

45565800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 45565800 is about 6750.2444400185. The cubic root of 45565800 is about 357.1738594040.

The spelling of 45565800 in words is "forty-five million, five hundred sixty-five thousand, eight hundred".