45366200 has 96 divisors (see below), whose sum is σ = 121934160. Its totient is φ = 15513600.

The previous prime is 45366199. The next prime is 45366203. The reversal of 45366200 is 266354.

It is a self number, because there is not a number n which added to its sum of digits gives 45366200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45366203) 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, 36794 + ... + 38006.

Almost surely, 2^45366200 is an apocalyptic number.

45366200 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 45366200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60967080).

45366200 is an abundant number, since it is smaller than the sum of its proper divisors (76567960).

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

45366200 is a wasteful number, since it uses less digits than its factorization.

45366200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 45366200 is about 6735.4435637158. The cubic root of 45366200 is about 356.6515652422.

The spelling of 45366200 in words is "forty-five million, three hundred sixty-six thousand, two hundred".