541565440 has 80 divisors (see below), whose sum is σ = 1398457368. Its totient is φ = 199950336.

The previous prime is 541565371. The next prime is 541565441. The reversal of 541565440 is 44565145.

It can be written as a sum of positive squares in 4 ways, for example, as 474194176 + 67371264 = 21776^2 + 8208^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 541565396 and 541565405.

It is not an unprimeable number, because it can be changed into a prime (541565441) 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, 25144 + ... + 41416.

Almost surely, 2^541565440 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 541565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699228684).

541565440 is an abundant number, since it is smaller than the sum of its proper divisors (856891928).

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

541565440 is a wasteful number, since it uses less digits than its factorization.

541565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16309 (or 16293 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 541565440 is about 23271.5586070207. The cubic root of 541565440 is about 815.1114254168. Note that the first 3 decimals are identical.

The spelling of 541565440 in words is "five hundred forty-one million, five hundred sixty-five thousand, four hundred forty".