45236200 has 48 divisors (see below), whose sum is σ = 108034380. Its totient is φ = 17602560.

The previous prime is 45236179. The next prime is 45236209. The reversal of 45236200 is 263254.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27646564 + 17589636 = 5258^2 + 4194^2 .

It is not an unprimeable number, because it can be changed into a prime (45236209) 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, 4344 + ... + 10456.

Almost surely, 2^45236200 is an apocalyptic number.

45236200 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 45236200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54017190).

45236200 is an abundant number, since it is smaller than the sum of its proper divisors (62798180).

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

45236200 is a wasteful number, since it uses less digits than its factorization.

45236200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6157 counting only the distinct ones).

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

The square root of 45236200 is about 6725.7861993971. The cubic root of 45236200 is about 356.3105693670.

Adding to 45236200 its reverse (263254), we get a palindrome (45499454).

The spelling of 45236200 in words is "forty-five million, two hundred thirty-six thousand, two hundred".