542253200 has 60 divisors (see below), whose sum is σ = 1314820980. Its totient is φ = 214894080.

The previous prime is 542253191. The next prime is 542253203. The reversal of 542253200 is 2352245.

It can be written as a sum of positive squares in 6 ways, for example, as 59660176 + 482593024 = 7724^2 + 21968^2 .

It is not an unprimeable number, because it can be changed into a prime (542253203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37382 + ... + 49818.

It is an arithmetic number, because the mean of its divisors is an integer number (21913683).

Almost surely, 2^542253200 is an apocalyptic number.

542253200 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 542253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657410490).

542253200 is an abundant number, since it is smaller than the sum of its proper divisors (772567780).

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

542253200 is a wasteful number, since it uses less digits than its factorization.

542253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12564 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 542253200 is about 23286.3307543288. The cubic root of 542253200 is about 815.4563291892.

The spelling of 542253200 in words is "five hundred forty-two million, two hundred fifty-three thousand, two hundred".