542413968 has 80 divisors (see below), whose sum is σ = 1548222336. Its totient is φ = 162764800.

The previous prime is 542413961. The next prime is 542414011. The reversal of 542413968 is 869314245.

It is not an unprimeable number, because it can be changed into a prime (542413961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4318 + ... + 33218.

Almost surely, 2^542413968 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 542413968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774111168).

542413968 is an abundant number, since it is smaller than the sum of its proper divisors (1005808368).

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

542413968 is a wasteful number, since it uses less digits than its factorization.

542413968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28952 (or 28946 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 542413968 is about 23289.7824807361. The cubic root of 542413968 is about 815.5369104436.

The spelling of 542413968 in words is "five hundred forty-two million, four hundred thirteen thousand, nine hundred sixty-eight".