541563424 has 48 divisors (see below), whose sum is σ = 1156503096. Its totient is φ = 248627200.

The previous prime is 541563401. The next prime is 541563427. The reversal of 541563424 is 424365145.

It can be written as a sum of positive squares in 4 ways, for example, as 511664400 + 29899024 = 22620^2 + 5468^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 541563424.

It is not an unprimeable number, because it can be changed into a prime (541563427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10164 + ... + 34444.

Almost surely, 2^541563424 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 541563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578251548).

541563424 is an abundant number, since it is smaller than the sum of its proper divisors (614939672).

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

541563424 is a wasteful number, since it uses less digits than its factorization.

541563424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24349 (or 24341 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 541563424 is about 23271.5152923053. The cubic root of 541563424 is about 815.1104139868.

The spelling of 541563424 in words is "five hundred forty-one million, five hundred sixty-three thousand, four hundred twenty-four".