542147760 has 540 divisors, whose sum is σ = 2346349824. Its totient is φ = 111767040.

The previous prime is 542147737. The next prime is 542147761. The reversal of 542147760 is 67741245.

542147760 is a `hidden beast` number, since 542 + 1 + 47 + 76 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (542147761) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268817 + ... + 4268943.

Almost surely, 2^542147760 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 542147760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173174912).

542147760 is an abundant number, since it is smaller than the sum of its proper divisors (1804202064).

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

542147760 is a wasteful number, since it uses less digits than its factorization.

542147760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 542147760 is about 23284.0666551185. The cubic root of 542147760 is about 815.4034711708.

The spelling of 542147760 in words is "five hundred forty-two million, one hundred forty-seven thousand, seven hundred sixty".