45250200 has 144 divisors (see below), whose sum is σ = 158717520. Its totient is φ = 11531520.

The previous prime is 45250187. The next prime is 45250207. The reversal of 45250200 is 205254.

45250200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45250207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 40854 + ... + 41946.

It is an arithmetic number, because the mean of its divisors is an integer number (1102205).

Almost surely, 2^45250200 is an apocalyptic number.

45250200 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 45250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79358760).

45250200 is an abundant number, since it is smaller than the sum of its proper divisors (113467320).

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

45250200 is a wasteful number, since it uses less digits than its factorization.

45250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45250200 is about 6726.8268894034. The cubic root of 45250200 is about 356.3473233638.

Adding to 45250200 its reverse (205254), we get a palindrome (45455454).

The spelling of 45250200 in words is "forty-five million, two hundred fifty thousand, two hundred".