541042000 has 80 divisors (see below), whose sum is σ = 1385281872. Its totient is φ = 203673600.

The previous prime is 541041997. The next prime is 541042031. The reversal of 541042000 is 240145.

It can be written as a sum of positive squares in 8 ways, for example, as 43930384 + 497111616 = 6628^2 + 22296^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26044 + ... + 41956.

Almost surely, 2^541042000 is an apocalyptic number.

541042000 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 541042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692640936).

541042000 is an abundant number, since it is smaller than the sum of its proper divisors (844239872).

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

541042000 is a wasteful number, since it uses less digits than its factorization.

541042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15937 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 541042000 is about 23260.3095422223. The cubic root of 541042000 is about 814.8487305034.

Adding to 541042000 its reverse (240145), we get a palindrome (541282145).

The spelling of 541042000 in words is "five hundred forty-one million, forty-two thousand".