45123200 has 96 divisors (see below), whose sum is σ = 113832000. Its totient is φ = 17669120.

The previous prime is 45123191. The next prime is 45123251. The reversal of 45123200 is 232154.

It is a super-2 number, since 2×45123200² = 4072206356480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188681 + ... + 188919.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^45123200 is an apocalyptic number.

45123200 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 45123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

45123200 is an abundant number, since it is smaller than the sum of its proper divisors (68708800).

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

45123200 is a wasteful number, since it uses less digits than its factorization.

45123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 45123200 is about 6717.3804418091. The cubic root of 45123200 is about 356.0136341199.

Adding to 45123200 its reverse (232154), we get a palindrome (45355354).

The spelling of 45123200 in words is "forty-five million, one hundred twenty-three thousand, two hundred".