542112480 has 576 divisors, whose sum is σ = 2389020480. Its totient is φ = 113799168.

The previous prime is 542112443. The next prime is 542112509. The reversal of 542112480 is 84211245.

542112480 is a `hidden beast` number, since 542 + 112 + 4 + 8 + 0 = 666.

542112480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751742 + ... + 2751938.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2^542112480 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 542112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194510240).

542112480 is an abundant number, since it is smaller than the sum of its proper divisors (1846908000).

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

542112480 is a wasteful number, since it uses less digits than its factorization.

542112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

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

The square root of 542112480 is about 23283.3090431751. The cubic root of 542112480 is about 815.3857834599.

The spelling of 542112480 in words is "five hundred forty-two million, one hundred twelve thousand, four hundred eighty".