542638080 has 240 divisors, whose sum is σ = 1962932400. Its totient is φ = 138412032.

The previous prime is 542638013. The next prime is 542638097. The reversal of 542638080 is 80836245.

542638080 is a `hidden beast` number, since 542 + 6 + 38 + 0 + 80 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 23592949 + ... + 23592971.

It is an arithmetic number, because the mean of its divisors is an integer number (8178885).

Almost surely, 2^542638080 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 542638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981466200).

542638080 is an abundant number, since it is smaller than the sum of its proper divisors (1420294320).

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

542638080 is an frugal number, since it uses more digits than its factorization.

542638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 542638080 is about 23294.5933641264. The cubic root of 542638080 is about 815.6492148534.

The spelling of 542638080 in words is "five hundred forty-two million, six hundred thirty-eight thousand, eighty".