45200 has 30 divisors (see below), whose sum is σ = 109554. Its totient is φ = 17920.

The previous prime is 45197. The next prime is 45233. The reversal of 45200 is 254.

45200 = T₁₅ + T₁₆ + ... + T₆₄.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 44944 = 16^2 + 212^2 .

45200 is an undulating number in base 15.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 344 + ... + 456.

2⁴⁵²⁰⁰ is an apocalyptic number.

45200 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 45200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54777).

45200 is an abundant number, since it is smaller than the sum of its proper divisors (64354).

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

45200 is a wasteful number, since it uses less digits than its factorization.

45200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 45200 is about 212.6029162547. The cubic root of 45200 is about 35.6215498865.

Adding to 45200 its reverse (254), we get a palindrome (45454).

The spelling of 45200 in words is "forty-five thousand, two hundred".