541244160 has 144 divisors (see below), whose sum is σ = 1920787680. Its totient is φ = 144322560.

The previous prime is 541244129. The next prime is 541244173. The reversal of 541244160 is 61442145.

541244160 is a `hidden beast` number, since 541 + 24 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 26730 + ... + 42390.

Almost surely, 2^541244160 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 541244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960393840).

541244160 is an abundant number, since it is smaller than the sum of its proper divisors (1379543520).

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

541244160 is a wasteful number, since it uses less digits than its factorization.

541244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 541244160 is about 23264.6547363162. The cubic root of 541244160 is about 814.9502071026.

The spelling of 541244160 in words is "five hundred forty-one million, two hundred forty-four thousand, one hundred sixty".