45202300 has 144 divisors (see below), whose sum is σ = 120304800. Its totient is φ = 14515200.

The previous prime is 45202259. The next prime is 45202307. The reversal of 45202300 is 320254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45202307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414646 + ... + 414754.

It is an arithmetic number, because the mean of its divisors is an integer number (835450).

Almost surely, 2^45202300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60152400).

45202300 is an abundant number, since it is smaller than the sum of its proper divisors (75102500).

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

45202300 is a wasteful number, since it uses less digits than its factorization.

45202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 45202300 is about 6723.2655755964. The cubic root of 45202300 is about 356.2215407655.

Adding to 45202300 its reverse (320254), we get a palindrome (45522554).

The spelling of 45202300 in words is "forty-five million, two hundred two thousand, three hundred".