542526400 has 84 divisors (see below), whose sum is σ = 1437697912. Its totient is φ = 200309760.

The previous prime is 542526373. The next prime is 542526503. The reversal of 542526400 is 4625245.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7759 + ... + 33841.

Almost surely, 2^542526400 is an apocalyptic number.

542526400 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 542526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718848956).

542526400 is an abundant number, since it is smaller than the sum of its proper divisors (895171512).

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

542526400 is a wasteful number, since it uses less digits than its factorization.

542526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26118 (or 26103 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 542526400 is about 23292.1961180134. The cubic root of 542526400 is about 815.5932549312.

The spelling of 542526400 in words is "five hundred forty-two million, five hundred twenty-six thousand, four hundred".