45452200 has 48 divisors (see below), whose sum is σ = 109100160. Its totient is φ = 17592000.

The previous prime is 45452191. The next prime is 45452207. The reversal of 45452200 is 225454.

45452200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45452200³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45452207) 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 11 ways as a sum of consecutive naturals, for example, 2535 + ... + 9865.

It is an arithmetic number, because the mean of its divisors is an integer number (2272920).

Almost surely, 2^45452200 is an apocalyptic number.

45452200 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 45452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54550080).

45452200 is an abundant number, since it is smaller than the sum of its proper divisors (63647960).

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

45452200 is a wasteful number, since it uses less digits than its factorization.

45452200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 45452200 is about 6741.8246788240. The cubic root of 45452200 is about 356.8767892599.

Adding to 45452200 its reverse (225454), we get a palindrome (45677654).

The spelling of 45452200 in words is "forty-five million, four hundred fifty-two thousand, two hundred".