45461200 has 60 divisors (see below), whose sum is σ = 110534220. Its totient is φ = 17966080.

The previous prime is 45461161. The next prime is 45461203. The reversal of 45461200 is 216454.

It can be written as a sum of positive squares in 6 ways, for example, as 2322576 + 43138624 = 1524^2 + 6568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45461203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34962 + ... + 36238.

It is an arithmetic number, because the mean of its divisors is an integer number (1842237).

Almost surely, 2^45461200 is an apocalyptic number.

45461200 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 45461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55267110).

45461200 is an abundant number, since it is smaller than the sum of its proper divisors (65073020).

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

45461200 is a wasteful number, since it uses less digits than its factorization.

45461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45461200 is about 6742.4921208704. The cubic root of 45461200 is about 356.9003427889.

Adding to 45461200 its reverse (216454), we get a palindrome (45677654).

The spelling of 45461200 in words is "forty-five million, four hundred sixty-one thousand, two hundred".