45606200 has 48 divisors (see below), whose sum is σ = 108917880. Its totient is φ = 17746560.

The previous prime is 45606167. The next prime is 45606203. The reversal of 45606200 is 260654.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45606203) 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, 4319 + ... + 10481.

Almost surely, 2^45606200 is an apocalyptic number.

45606200 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 45606200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54458940).

45606200 is an abundant number, since it is smaller than the sum of its proper divisors (63311680).

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

45606200 is a wasteful number, since it uses less digits than its factorization.

45606200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 45606200 is about 6753.2362612306. The cubic root of 45606200 is about 357.2793885609.

Adding to 45606200 its reverse (260654), we get a palindrome (45866854).

The spelling of 45606200 in words is "forty-five million, six hundred six thousand, two hundred".