541865520 has 180 divisors, whose sum is σ = 2117007360. Its totient is φ = 123846912.

The previous prime is 541865483. The next prime is 541865521. The reversal of 541865520 is 25568145.

541865520 is a `hidden beast` number, since 54 + 1 + 86 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (541865521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27601 + ... + 42959.

It is an arithmetic number, because the mean of its divisors is an integer number (11761152).

Almost surely, 2^541865520 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 541865520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058503680).

541865520 is an abundant number, since it is smaller than the sum of its proper divisors (1575141840).

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

541865520 is a wasteful number, since it uses less digits than its factorization.

541865520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392 (or 15376 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 541865520 is about 23278.0050691635. The cubic root of 541865520 is about 815.2619479916.

The spelling of 541865520 in words is "five hundred forty-one million, eight hundred sixty-five thousand, five hundred twenty".