542721600 has 336 divisors, whose sum is σ = 2097633600. Its totient is φ = 136028160.

The previous prime is 542721577. The next prime is 542721601. The reversal of 542721600 is 6127245.

542721600 is a `hidden beast` number, since 54 + 2 + 7 + 2 + 1 + 600 = 666.

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 (542721601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734031 + ... + 734769.

Almost surely, 2^542721600 is an apocalyptic number.

542721600 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 542721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048816800).

542721600 is an abundant number, since it is smaller than the sum of its proper divisors (1554912000).

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

542721600 is a wasteful number, since it uses less digits than its factorization.

542721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 542721600 is about 23296.3859858133. The cubic root of 542721600 is about 815.6910595194.

Adding to 542721600 its reverse (6127245), we get a palindrome (548848845).

The spelling of 542721600 in words is "five hundred forty-two million, seven hundred twenty-one thousand, six hundred".