542959200 has 756 divisors, whose sum is σ = 2433477060. Its totient is φ = 117573120.

The previous prime is 542959171. The next prime is 542959217. The reversal of 542959200 is 2959245.

It is a happy number.

542959200 is a `hidden beast` number, since 542 + 95 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 28576791 + ... + 28576809.

It is an arithmetic number, because the mean of its divisors is an integer number (3218885).

Almost surely, 2^542959200 is an apocalyptic number.

542959200 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 542959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216738530).

542959200 is an abundant number, since it is smaller than the sum of its proper divisors (1890517860).

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

542959200 is a wasteful number, since it uses less digits than its factorization.

542959200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 542959200 is about 23301.4849312227. The cubic root of 542959200 is about 815.8100769063.

The spelling of 542959200 in words is "five hundred forty-two million, nine hundred fifty-nine thousand, two hundred".