45185280 has 216 divisors, whose sum is σ = 169046976. Its totient is φ = 10076160.

The previous prime is 45185267. The next prime is 45185281. The reversal of 45185280 is 8258154.

It is not an unprimeable number, because it can be changed into a prime (45185281) 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, 1102060 + ... + 1102100.

Almost surely, 2^45185280 is an apocalyptic number.

45185280 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 45185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84523488).

45185280 is an abundant number, since it is smaller than the sum of its proper divisors (123861696).

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

45185280 is an equidigital number, since it uses as much as digits as its factorization.

45185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 45185280 is about 6721.9997024695. Note that the first 3 decimals coincide. The cubic root of 45185280 is about 356.1768258451.

The spelling of 45185280 in words is "forty-five million, one hundred eighty-five thousand, two hundred eighty".