542601800 has 96 divisors (see below), whose sum is σ = 1367282280. Its totient is φ = 199065600.

The previous prime is 542601799. The next prime is 542601811. The reversal of 542601800 is 8106245.

It can be written as a sum of positive squares in 12 ways, for example, as 9084196 + 533517604 = 3014^2 + 23098^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 542601800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470024 + ... + 471176.

Almost surely, 2^542601800 is an apocalyptic number.

542601800 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 542601800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683641140).

542601800 is an abundant number, since it is smaller than the sum of its proper divisors (824680480).

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

542601800 is a wasteful number, since it uses less digits than its factorization.

542601800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 542601800 is about 23293.8146296393. The cubic root of 542601800 is about 815.6310367379.

The spelling of 542601800 in words is "five hundred forty-two million, six hundred one thousand, eight hundred".