542230400 has 96 divisors (see below), whose sum is σ = 1385904600. Its totient is φ = 209377280.

The previous prime is 542230391. The next prime is 542230433. The reversal of 542230400 is 4032245.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89879 + ... + 95721.

Almost surely, 2^542230400 is an apocalyptic number.

542230400 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 542230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692952300).

542230400 is an abundant number, since it is smaller than the sum of its proper divisors (843674200).

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

542230400 is a wasteful number, since it uses less digits than its factorization.

542230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 542230400 is about 23285.8411915911. The cubic root of 542230400 is about 815.4448999253. Note that the first 3 decimals are identical.

Adding to 542230400 its reverse (4032245), we get a palindrome (546262645).

The spelling of 542230400 in words is "five hundred forty-two million, two hundred thirty thousand, four hundred".