542352384 has 198 divisors, whose sum is σ = 1823226054. Its totient is φ = 154828800.

The previous prime is 542352361. The next prime is 542352439. The reversal of 542352384 is 483253245.

542352384 is a `hidden beast` number, since 54 + 2 + 3 + 523 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 282240000 + 260112384 = 16800^2 + 16128^2 .

It is a super-2 number, since 2×542352384² = 588292216860966912, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 450984 + ... + 452184.

Almost surely, 2^542352384 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 542352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911613027).

542352384 is an abundant number, since it is smaller than the sum of its proper divisors (1280873670).

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

542352384 is a wasteful number, since it uses less digits than its factorization.

542352384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1213 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 542352384 is about 23288.4603183637. The cubic root of 542352384 is about 815.5060447648.

The spelling of 542352384 in words is "five hundred forty-two million, three hundred fifty-two thousand, three hundred eighty-four".