541104000 has 128 divisors (see below), whose sum is σ = 1793918880. Its totient is φ = 144281600.

The previous prime is 541103989. The next prime is 541104001. The reversal of 541104000 is 401145.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541104001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42364 + ... + 53636.

Almost surely, 2^541104000 is an apocalyptic number.

541104000 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 541104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896959440).

541104000 is an abundant number, since it is smaller than the sum of its proper divisors (1252814880).

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

541104000 is a wasteful number, since it uses less digits than its factorization.

541104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11305 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 541104000 is about 23261.6422464107. The cubic root of 541104000 is about 814.8798548225.

Adding to 541104000 its reverse (401145), we get a palindrome (541505145).

The spelling of 541104000 in words is "five hundred forty-one million, one hundred four thousand".