45570 has 48 divisors (see below), whose sum is σ = 131328. Its totient is φ = 10080.

The previous prime is 45569. The next prime is 45587. The reversal of 45570 is 7554.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (2736).

2⁴⁵⁵⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664).

45570 is an abundant number, since it is smaller than the sum of its proper divisors (85758).

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

45570 is a wasteful number, since it uses less digits than its factorization.

45570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 48 counting only the distinct ones).

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

The square root of 45570 is about 213.4713095477. The cubic root of 45570 is about 35.7184833161.

It can be divided in two parts, 455 and 70, that added together give a palindrome (525).

The spelling of 45570 in words is "forty-five thousand, five hundred seventy".