542509968 has 240 divisors, whose sum is σ = 1916502336. Its totient is φ = 129991680.

The previous prime is 542509963. The next prime is 542509987. The reversal of 542509968 is 869905245.

It is a super-2 number, since 2×542509968² = 588634130758722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (542509963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335530 + ... + 337142.

Almost surely, 2^542509968 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 542509968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958251168).

542509968 is an abundant number, since it is smaller than the sum of its proper divisors (1373992368).

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

542509968 is a wasteful number, since it uses less digits than its factorization.

542509968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 542509968 is about 23291.8433791746. The cubic root of 542509968 is about 815.5850206384.

The spelling of 542509968 in words is "five hundred forty-two million, five hundred nine thousand, nine hundred sixty-eight".