541892880 has 240 divisors, whose sum is σ = 1945696896. Its totient is φ = 134830080.

The previous prime is 541892873. The next prime is 541892881. The reversal of 541892880 is 88298145.

It is a happy number.

541892880 is a `hidden beast` number, since 541 + 8 + 9 + 28 + 80 = 666.

541892880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (541892881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711700 + ... + 712460.

Almost surely, 2^541892880 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 541892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972848448).

541892880 is an abundant number, since it is smaller than the sum of its proper divisors (1403804016).

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

541892880 is a wasteful number, since it uses less digits than its factorization.

541892880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 541892880 is about 23278.5927409713. The cubic root of 541892880 is about 815.2756692260.

The spelling of 541892880 in words is "five hundred forty-one million, eight hundred ninety-two thousand, eight hundred eighty".