45750 has 32 divisors (see below), whose sum is σ = 116064. Its totient is φ = 12000.

The previous prime is 45737. The next prime is 45751. The reversal of 45750 is 5754.

45750 = T₄ + T₅ + ... + T₆₄.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45751) by changing a digit.

45750 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (3627).

2⁴⁵⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032).

45750 is an abundant number, since it is smaller than the sum of its proper divisors (70314).

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

45750 is a wasteful number, since it uses less digits than its factorization.

45750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 45750 is about 213.8924963621. The cubic root of 45750 is about 35.7654504752.

The spelling of 45750 in words is "forty-five thousand, seven hundred fifty".