542604960 has 384 divisors, whose sum is σ = 2043740160. Its totient is φ = 134120448.

The previous prime is 542604913. The next prime is 542604961. The reversal of 542604960 is 69406245.

542604960 is a `hidden beast` number, since 5 + 42 + 604 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542604961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4272417 + ... + 4272543.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^542604960 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 542604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021870080).

542604960 is an abundant number, since it is smaller than the sum of its proper divisors (1501135200).

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

542604960 is a wasteful number, since it uses less digits than its factorization.

542604960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 542604960 is about 23293.8824587058. The cubic root of 542604960 is about 815.6326200900.

The spelling of 542604960 in words is "five hundred forty-two million, six hundred four thousand, nine hundred sixty".