45300200 has 96 divisors (see below), whose sum is σ = 117180000. Its totient is φ = 16147200.

The previous prime is 45300197. The next prime is 45300209. The reversal of 45300200 is 200354.

It is not an unprimeable number, because it can be changed into a prime (45300209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129626 + ... + 129974.

It is an arithmetic number, because the mean of its divisors is an integer number (1220625).

Almost surely, 2^45300200 is an apocalyptic number.

45300200 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 45300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590000).

45300200 is an abundant number, since it is smaller than the sum of its proper divisors (71879800).

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

45300200 is a wasteful number, since it uses less digits than its factorization.

45300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 45300200 is about 6730.5423258457. The cubic root of 45300200 is about 356.4785257869.

Adding to 45300200 its reverse (200354), we get a palindrome (45500554).

The spelling of 45300200 in words is "forty-five million, three hundred thousand, two hundred".