45740 has 12 divisors (see below), whose sum is σ = 96096. Its totient is φ = 18288.

The previous prime is 45737. The next prime is 45751. The reversal of 45740 is 4754.

45740 = T₅ + T₆ + ... + T₆₄.

45740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 2287 = 45740 / (4 + 5 + 7 + 4 + 0).

It is a plaindrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1124 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2⁴⁵⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

45740 is an abundant number, since it is smaller than the sum of its proper divisors (50356).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48048).

45740 is a wasteful number, since it uses less digits than its factorization.

45740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 45740 is about 213.8691188554. The cubic root of 45740 is about 35.7628444237.

The spelling of 45740 in words is "forty-five thousand, seven hundred forty".