542452320 has 144 divisors (see below), whose sum is σ = 1960096320. Its totient is φ = 136138752.

The previous prime is 542452277. The next prime is 542452327. The reversal of 542452320 is 23254245.

It is a happy number.

542452320 is a `hidden beast` number, since 5 + 424 + 5 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542452327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13401 + ... + 35559.

It is an arithmetic number, because the mean of its divisors is an integer number (13611780).

Almost surely, 2^542452320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980048160).

542452320 is an abundant number, since it is smaller than the sum of its proper divisors (1417644000).

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

542452320 is a wasteful number, since it uses less digits than its factorization.

542452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22197 (or 22186 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 542452320 is about 23290.6058315365. The cubic root of 542452320 is about 815.5561311473.

It can be divided in two parts, 54245 and 2320, that added together give a palindrome (56565).

The spelling of 542452320 in words is "five hundred forty-two million, four hundred fifty-two thousand, three hundred twenty".