541288720 has 80 divisors (see below), whose sum is σ = 1514010240. Its totient is φ = 175813632.

The previous prime is 541288703. The next prime is 541288729. The reversal of 541288720 is 27882145.

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

It is a self number, because there is not a number n which added to its sum of digits gives 541288720.

It is not an unprimeable number, because it can be changed into a prime (541288729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14797 + ... + 36076.

It is an arithmetic number, because the mean of its divisors is an integer number (18925128).

Almost surely, 2^541288720 is an apocalyptic number.

It is an amenable number.

541288720 is an abundant number, since it is smaller than the sum of its proper divisors (972721520).

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

541288720 is a wasteful number, since it uses less digits than its factorization.

541288720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50912 (or 50906 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 541288720 is about 23265.6123925419. The cubic root of 541288720 is about 814.9725711220.

The spelling of 541288720 in words is "five hundred forty-one million, two hundred eighty-eight thousand, seven hundred twenty".