545952 has 72 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 161920.

The previous prime is 545947. The next prime is 545959. The reversal of 545952 is 259545.

It is a happy number.

It is a d-powerful number, because it can be written as 5 + 4³ + 9⁶ + 5⁵ + 5⁵ + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (545959) by changing a digit.

545952 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 11 ways as a sum of consecutive naturals, for example, 11593 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁵⁴⁵⁹⁵² 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 545952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

545952 is an abundant number, since it is smaller than the sum of its proper divisors (1062816).

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

545952 is a wasteful number, since it uses less digits than its factorization.

545952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 545952 is about 738.8856474449. The cubic root of 545952 is about 81.7306250786.

It can be divided in two parts, 54 and 5952, that added together give a palindrome (6006).

The spelling of 545952 in words is "five hundred forty-five thousand, nine hundred fifty-two".