542035296 has 288 divisors, whose sum is σ = 1805836032. Its totient is φ = 152570880.

The previous prime is 542035283. The next prime is 542035331. The reversal of 542035296 is 692530245.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 542035296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133066 + ... + 3133238.

It is an arithmetic number, because the mean of its divisors is an integer number (6270264).

Almost surely, 2^542035296 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 542035296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902918016).

542035296 is an abundant number, since it is smaller than the sum of its proper divisors (1263800736).

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

542035296 is a wasteful number, since it uses less digits than its factorization.

542035296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 542035296 is about 23281.6514878133. The cubic root of 542035296 is about 815.3470844041.

The spelling of 542035296 in words is "five hundred forty-two million, thirty-five thousand, two hundred ninety-six".