542026400 has 36 divisors (see below), whose sum is σ = 1323223902. Its totient is φ = 216810240.

The previous prime is 542026367. The next prime is 542026403. The reversal of 542026400 is 4620245.

It can be written as a sum of positive squares in 3 ways, for example, as 521848336 + 20178064 = 22844^2 + 4492^2 .

It is not an unprimeable number, because it can be changed into a prime (542026403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 337967 + ... + 339566.

Almost surely, 2^542026400 is an apocalyptic number.

542026400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542026400 is an abundant number, since it is smaller than the sum of its proper divisors (781197502).

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

542026400 is a wasteful number, since it uses less digits than its factorization.

542026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677553 (or 677540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 542026400 is about 23281.4604352906. The cubic root of 542026400 is about 815.3426238291.

Adding to 542026400 its reverse (4620245), we get a palindrome (546646645).

The spelling of 542026400 in words is "five hundred forty-two million, twenty-six thousand, four hundred".