542253600 has 648 divisors, whose sum is σ = 2344420260. Its totient is φ = 117411840.

The previous prime is 542253587. The next prime is 542253631. The reversal of 542253600 is 6352245.

542253600 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 53 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 262828944 + 279424656 = 16212^2 + 16716^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10231174 + ... + 10231226.

Almost surely, 2^542253600 is an apocalyptic number.

542253600 is a gapful number since it is divisible by the number (50) 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 542253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172210130).

542253600 is an abundant number, since it is smaller than the sum of its proper divisors (1802166660).

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

542253600 is a wasteful number, since it uses less digits than its factorization.

542253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 542253600 is about 23286.3393430569. The cubic root of 542253600 is about 815.4565296998.

The spelling of 542253600 in words is "five hundred forty-two million, two hundred fifty-three thousand, six hundred".