542057600 has 144 divisors (see below), whose sum is σ = 1558122930. Its totient is φ = 185794560.

The previous prime is 542057587. The next prime is 542057611. The reversal of 542057600 is 6750245.

It can be written as a sum of positive squares in 3 ways, for example, as 226924096 + 315133504 = 15064^2 + 17752^2 .

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, 155072 + ... + 158528.

Almost surely, 2^542057600 is an apocalyptic number.

542057600 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 542057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779061465).

542057600 is an abundant number, since it is smaller than the sum of its proper divisors (1016065330).

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

542057600 is a wasteful number, since it uses less digits than its factorization.

542057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 542057600 is about 23282.1304867059. The cubic root of 542057600 is about 815.3582677176.

The spelling of 542057600 in words is "five hundred forty-two million, fifty-seven thousand, six hundred".