45280 has 24 divisors (see below), whose sum is σ = 107352. Its totient is φ = 18048.

The previous prime is 45263. The next prime is 45281. The reversal of 45280 is 8254.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (4473).

2⁴⁵²⁸⁰ is an apocalyptic number.

45280 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 45280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53676).

45280 is an abundant number, since it is smaller than the sum of its proper divisors (62072).

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

45280 is a wasteful number, since it uses less digits than its factorization.

45280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 45280 is about 212.7909772523. The cubic root of 45280 is about 35.6425531637.

It can be divided in two parts, 45 and 280, that added together give a triangular number (325 = T₂₅).

The spelling of 45280 in words is "forty-five thousand, two hundred eighty".