542851200 has 384 divisors, whose sum is σ = 2038857600. Its totient is φ = 141004800.

The previous prime is 542851189. The next prime is 542851201. The reversal of 542851200 is 2158245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×542851200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (542851201) 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, 5270349 + ... + 5270451.

It is an arithmetic number, because the mean of its divisors is an integer number (5309525).

Almost surely, 2^542851200 is an apocalyptic number.

542851200 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 542851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019428800).

542851200 is an abundant number, since it is smaller than the sum of its proper divisors (1496006400).

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

542851200 is a wasteful number, since it uses less digits than its factorization.

542851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 542851200 is about 23299.1673670970. The cubic root of 542851200 is about 815.7559823993.

The spelling of 542851200 in words is "five hundred forty-two million, eight hundred fifty-one thousand, two hundred".