45260 has 24 divisors (see below), whose sum is σ = 99456. Its totient is φ = 17280.

The previous prime is 45259. The next prime is 45263. The reversal of 45260 is 6254.

It is a plaindrome in base 12 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45260.

It is not an unprimeable number, because it can be changed into a prime (45263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (4144).

2⁴⁵²⁶⁰ 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 45260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49728).

45260 is an abundant number, since it is smaller than the sum of its proper divisors (54196).

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

45260 is a wasteful number, since it uses less digits than its factorization.

45260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

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

The square root of 45260 is about 212.7439775881. The cubic root of 45260 is about 35.6373046651.

Multiplying 45260 by its sum of digits (17), we get a triangular number (769420 = T₁₂₄₀).

It can be divided in two parts, 452 and 60, that added together give a 9-th power (512 = 2⁹).

The spelling of 45260 in words is "forty-five thousand, two hundred sixty".