542880 has 144 divisors (see below), whose sum is σ = 2063880. Its totient is φ = 129024.

The previous prime is 542873. The next prime is 542891. The reversal of 542880 is 88245.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 197136 = 588^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

542880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18706 + ... + 18734.

2⁵⁴²⁸⁸⁰ 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 542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940).

542880 is an abundant number, since it is smaller than the sum of its proper divisors (1521000).

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

542880 is a wasteful number, since it uses less digits than its factorization.

542880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 542880 is about 736.8039087844. The cubic root of 542880 is about 81.5770408303.

The spelling of 542880 in words is "five hundred forty-two thousand, eight hundred eighty".