45502200 has 144 divisors (see below), whose sum is σ = 161909280. Its totient is φ = 11412480.

The previous prime is 45502153. The next prime is 45502201. The reversal of 45502200 is 220554.

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 (45502201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29857 + ... + 31343.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 2^45502200 is an apocalyptic number.

45502200 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 45502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80954640).

45502200 is an abundant number, since it is smaller than the sum of its proper divisors (116407080).

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

45502200 is a wasteful number, since it uses less digits than its factorization.

45502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1514 counting only the distinct ones).

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

The square root of 45502200 is about 6745.5318544945. The cubic root of 45502200 is about 357.0076028793.

Adding to 45502200 its reverse (220554), we get a palindrome (45722754).

The spelling of 45502200 in words is "forty-five million, five hundred two thousand, two hundred".