542971296 has 192 divisors, whose sum is σ = 1916732160. Its totient is φ = 145981440.

The previous prime is 542971291. The next prime is 542971333. The reversal of 542971296 is 692179245.

542971296 is a `hidden beast` number, since 542 + 9 + 7 + 12 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (542971291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100176 + ... + 105456.

It is an arithmetic number, because the mean of its divisors is an integer number (9982980).

Almost surely, 2^542971296 is an apocalyptic number.

542971296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542971296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958366080).

542971296 is an abundant number, since it is smaller than the sum of its proper divisors (1373760864).

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

542971296 is a wasteful number, since it uses less digits than its factorization.

542971296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5310 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 542971296 is about 23301.7444840510. The cubic root of 542971296 is about 815.8161350444.

The spelling of 542971296 in words is "five hundred forty-two million, nine hundred seventy-one thousand, two hundred ninety-six".