541284720 has 80 divisors (see below), whose sum is σ = 1705536672. Its totient is φ = 141972480.

The previous prime is 541284719. The next prime is 541284721. The reversal of 541284720 is 27482145.

It is an interprime number because it is at equal distance from previous prime (541284719) and next prime (541284721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541284721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3847 + ... + 33126.

Almost surely, 2^541284720 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 541284720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852768336).

541284720 is an abundant number, since it is smaller than the sum of its proper divisors (1164251952).

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

541284720 is a wasteful number, since it uses less digits than its factorization.

541284720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37050 (or 37044 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 541284720 is about 23265.5264286025. The cubic root of 541284720 is about 814.9705636300.

The spelling of 541284720 in words is "five hundred forty-one million, two hundred eighty-four thousand, seven hundred twenty".