541344500 has 48 divisors (see below), whose sum is σ = 1201746000. Its totient is φ = 212976000.

The previous prime is 541344497. The next prime is 541344527. The reversal of 541344500 is 5443145.

It can be written as a sum of positive squares in 8 ways, for example, as 461992036 + 79352464 = 21494^2 + 8908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 541344500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21626 + ... + 39374.

It is an arithmetic number, because the mean of its divisors is an integer number (25036375).

Almost surely, 2^541344500 is an apocalyptic number.

541344500 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 541344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600873000).

541344500 is an abundant number, since it is smaller than the sum of its proper divisors (660401500).

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

541344500 is a wasteful number, since it uses less digits than its factorization.

541344500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17829 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 541344500 is about 23266.8111265811. The cubic root of 541344500 is about 815.0005645673. Note that the first 3 decimals are identical.

Adding to 541344500 its reverse (5443145), we get a palindrome (546787645).

The spelling of 541344500 in words is "five hundred forty-one million, three hundred forty-four thousand, five hundred".