541500 has 72 divisors (see below), whose sum is σ = 1664208. Its totient is φ = 136800.

The previous prime is 541483. The next prime is 541507. The reversal of 541500 is 5145.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 541500.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541500.

It is not an unprimeable number, because it can be changed into a prime (541507) by changing a digit.

541500 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 23 ways as a sum of consecutive naturals, for example, 28491 + ... + 28509.

It is an arithmetic number, because the mean of its divisors is an integer number (23114).

2⁵⁴¹⁵⁰⁰ is an apocalyptic number.

541500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104).

541500 is an abundant number, since it is smaller than the sum of its proper divisors (1122708).

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

541500 is a wasteful number, since it uses less digits than its factorization.

541500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 541500 is about 735.8668357794. The cubic root of 541500 is about 81.5078592795.

Multiplying 541500 by its sum of digits (15), we get a square (8122500 = 2850²).

541500 divided by its sum of digits (15) gives a square (36100 = 190²).

Adding to 541500 its reverse (5145), we get a palindrome (546645).

The spelling of 541500 in words is "five hundred forty-one thousand, five hundred".