542041200 has 240 divisors, whose sum is σ = 1992729600. Its totient is φ = 139795200.

The previous prime is 542041163. The next prime is 542041217. The reversal of 542041200 is 2140245.

542041200 is a `hidden beast` number, since 5 + 420 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 333991 + ... + 335609.

It is an arithmetic number, because the mean of its divisors is an integer number (8303040).

Almost surely, 2^542041200 is an apocalyptic number.

542041200 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 542041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996364800).

542041200 is an abundant number, since it is smaller than the sum of its proper divisors (1450688400).

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

542041200 is a wasteful number, since it uses less digits than its factorization.

542041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 542041200 is about 23281.7782825969. The cubic root of 542041200 is about 815.3500447228.

Adding to 542041200 its reverse (2140245), we get a palindrome (544181445).

The spelling of 542041200 in words is "five hundred forty-two million, forty-one thousand, two hundred".