542162880 has 168 divisors, whose sum is σ = 2131295712. Its totient is φ = 123918336.

The previous prime is 542162869. The next prime is 542162893. The reversal of 542162880 is 88261245.

542162880 is a `hidden beast` number, since 5 + 4 + 21 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6714 + ... + 33606.

It is an arithmetic number, because the mean of its divisors is an integer number (12686284).

Almost surely, 2^542162880 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 542162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065647856).

542162880 is an abundant number, since it is smaller than the sum of its proper divisors (1589132832).

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

542162880 is a wasteful number, since it uses less digits than its factorization.

542162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26923 (or 26910 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 542162880 is about 23284.3913384052. The cubic root of 542162880 is about 815.4110513834.

The spelling of 542162880 in words is "five hundred forty-two million, one hundred sixty-two thousand, eight hundred eighty".