542264600 has 96 divisors (see below), whose sum is σ = 1307297280. Its totient is φ = 209018880.

The previous prime is 542264599. The next prime is 542264669. The reversal of 542264600 is 6462245.

542264600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 939512 + ... + 940088.

It is an arithmetic number, because the mean of its divisors is an integer number (13617680).

Almost surely, 2^542264600 is an apocalyptic number.

542264600 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 542264600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653648640).

542264600 is an abundant number, since it is smaller than the sum of its proper divisors (765032680).

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

542264600 is a wasteful number, since it uses less digits than its factorization.

542264600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 542264600 is about 23286.5755318381. The cubic root of 542264600 is about 815.4620437011.

The spelling of 542264600 in words is "five hundred forty-two million, two hundred sixty-four thousand, six hundred".