541350 has 48 divisors (see below), whose sum is σ = 1495440. Its totient is φ = 144000.

The previous prime is 541349. The next prime is 541361. The reversal of 541350 is 53145.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (31155).

2⁵⁴¹³⁵⁰ is an apocalyptic number.

541350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 541350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747720).

541350 is an abundant number, since it is smaller than the sum of its proper divisors (954090).

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

541350 is a wasteful number, since it uses less digits than its factorization.

541350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 541350 is about 735.7649081058. The cubic root of 541350 is about 81.5003324663.

Adding to 541350 its reverse (53145), we get a palindrome (594495).

It can be divided in two parts, 54 and 1350, that multiplied together give a square (72900 = 270²).

The spelling of 541350 in words is "five hundred forty-one thousand, three hundred fifty".