541344080 has 20 divisors (see below), whose sum is σ = 1258625172. Its totient is φ = 216537600.

The previous prime is 541344079. The next prime is 541344091. The reversal of 541344080 is 80443145.

It can be written as a sum of positive squares in 2 ways, for example, as 426339904 + 115004176 = 20648^2 + 10724^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3383321 + ... + 3383480.

Almost surely, 2^541344080 is an apocalyptic number.

It is an amenable number.

541344080 is an abundant number, since it is smaller than the sum of its proper divisors (717281092).

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

541344080 is a wasteful number, since it uses less digits than its factorization.

541344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766814 (or 6766808 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 541344080 is about 23266.8021008475. The cubic root of 541344080 is about 815.0003537956. Note that the first 3 decimals are identical.

The spelling of 541344080 in words is "five hundred forty-one million, three hundred forty-four thousand, eighty".