542426976 has 192 divisors, whose sum is σ = 1947456000. Its totient is φ = 143036928.

The previous prime is 542426971. The next prime is 542426987. The reversal of 542426976 is 679624245.

542426976 is a `hidden beast` number, since 542 + 42 + 69 + 7 + 6 = 666.

It is a super-3 number, since 3×542426976³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542426971) 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, 75175 + ... + 82073.

It is an arithmetic number, because the mean of its divisors is an integer number (10143000).

Almost surely, 2^542426976 is an apocalyptic number.

542426976 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 542426976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973728000).

542426976 is an abundant number, since it is smaller than the sum of its proper divisors (1405029024).

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

542426976 is a wasteful number, since it uses less digits than its factorization.

542426976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6924 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 542426976 is about 23290.0617431556. The cubic root of 542426976 is about 815.5434297074.

It can be divided in two parts, 5424 and 26976, that added together give a square (32400 = 180²).

The spelling of 542426976 in words is "five hundred forty-two million, four hundred twenty-six thousand, nine hundred seventy-six".