542376000 has 448 divisors, whose sum is σ = 2079467520. Its totient is φ = 139968000.

The previous prime is 542375993. The next prime is 542376017. The reversal of 542376000 is 673245.

It is a happy number.

542376000 is a `hidden beast` number, since 54 + 2 + 3 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17495985 + ... + 17496015.

Almost surely, 2^542376000 is an apocalyptic number.

542376000 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 542376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039733760).

542376000 is an abundant number, since it is smaller than the sum of its proper divisors (1537091520).

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

542376000 is an frugal number, since it uses more digits than its factorization.

542376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 542376000 is about 23288.9673450757. The cubic root of 542376000 is about 815.5178812950.

The spelling of 542376000 in words is "five hundred forty-two million, three hundred seventy-six thousand".