45632200 has 48 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 18120000.

The previous prime is 45632189. The next prime is 45632201. The reversal of 45632200 is 223654.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45632201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29445 + ... + 30955.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^45632200 is an apocalyptic number.

45632200 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 45632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

45632200 is an abundant number, since it is smaller than the sum of its proper divisors (61235960).

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

45632200 is a wasteful number, since it uses less digits than its factorization.

45632200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 45632200 is about 6755.1609899395. The cubic root of 45632200 is about 357.3472704089.

Adding to 45632200 its reverse (223654), we get a palindrome (45855854).

The spelling of 45632200 in words is "forty-five million, six hundred thirty-two thousand, two hundred".