541200880 has 80 divisors (see below), whose sum is σ = 1378599264. Its totient is φ = 195952640.

The previous prime is 541200851. The next prime is 541200937. The reversal of 541200880 is 88002145.

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

It is a super-3 number, since 3×541200880³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224964 + ... + 227356.

Almost surely, 2^541200880 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 541200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689299632).

541200880 is an abundant number, since it is smaller than the sum of its proper divisors (837398384).

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

541200880 is a wasteful number, since it uses less digits than its factorization.

541200880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 541200880 is about 23263.7245513267. The cubic root of 541200880 is about 814.9284843215.

The spelling of 541200880 in words is "five hundred forty-one million, two hundred thousand, eight hundred eighty".