542456460 has 576 divisors, whose sum is σ = 2252275200. Its totient is φ = 107122176.

The previous prime is 542456437. The next prime is 542456491. The reversal of 542456460 is 64654245.

542456460 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 5 + 646 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6535579 + ... + 6535661.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 2^542456460 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 542456460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126137600).

542456460 is an abundant number, since it is smaller than the sum of its proper divisors (1709818740).

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

542456460 is a wasteful number, since it uses less digits than its factorization.

542456460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 542456460 is about 23290.6947084023. The cubic root of 542456460 is about 815.5582059187.

The spelling of 542456460 in words is "five hundred forty-two million, four hundred fifty-six thousand, four hundred sixty".