45171200 has 60 divisors (see below), whose sum is σ = 111946890. Its totient is φ = 18063360.

The previous prime is 45171127. The next prime is 45171223. The reversal of 45171200 is 217154.

It can be written as a sum of positive squares in 3 ways, for example, as 23193856 + 21977344 = 4816^2 + 4688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11036 + ... + 14564.

Almost surely, 2^45171200 is an apocalyptic number.

45171200 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 45171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55973445).

45171200 is an abundant number, since it is smaller than the sum of its proper divisors (66775690).

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

45171200 is an equidigital number, since it uses as much as digits as its factorization.

45171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 45171200 is about 6720.9523134746. The cubic root of 45171200 is about 356.1398264012.

Adding to 45171200 its reverse (217154), we get a palindrome (45388354).

The spelling of 45171200 in words is "forty-five million, one hundred seventy-one thousand, two hundred".