541105920 has 360 divisors, whose sum is σ = 2056746384. Its totient is φ = 135364608.

The previous prime is 541105909. The next prime is 541105951. The reversal of 541105920 is 29501145.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762407 + ... + 1762713.

Almost surely, 2^541105920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028373192).

541105920 is an abundant number, since it is smaller than the sum of its proper divisors (1515640464).

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

541105920 is a wasteful number, since it uses less digits than its factorization.

541105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 541105920 is about 23261.6835160313. The cubic root of 541105920 is about 814.8808186345.

The spelling of 541105920 in words is "five hundred forty-one million, one hundred five thousand, nine hundred twenty".