542543400 has 384 divisors, whose sum is σ = 2209382400. Its totient is φ = 119750400.

The previous prime is 542543399. The next prime is 542543401. The reversal of 542543400 is 4345245.

542543400 is a `hidden beast` number, since 5 + 4 + 254 + 3 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (542543399) and next prime (542543401).

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

It is not an unprimeable number, because it can be changed into a prime (542543401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171569 + ... + 1172031.

It is an arithmetic number, because the mean of its divisors is an integer number (5753600).

Almost surely, 2^542543400 is an apocalyptic number.

542543400 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 542543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104691200).

542543400 is an abundant number, since it is smaller than the sum of its proper divisors (1666839000).

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

542543400 is a wasteful number, since it uses less digits than its factorization.

542543400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 511 counting only the distinct ones).

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

The square root of 542543400 is about 23292.5610442476. The cubic root of 542543400 is about 815.6017736813.

Adding to 542543400 its reverse (4345245), we get a palindrome (546888645).

The spelling of 542543400 in words is "five hundred forty-two million, five hundred forty-three thousand, four hundred".