242104400 has 30 divisors (see below), whose sum is σ = 581656782. Its totient is φ = 96841600.

The previous prime is 242104393. The next prime is 242104439. The reversal of 242104400 is 4401242.

It can be written as a sum of positive squares in 3 ways, for example, as 19855936 + 222248464 = 4456^2 + 14908^2 .

It is a super-2 number, since 2×242104400² = 117229080998720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302231 + ... + 303030.

Almost surely, 2^242104400 is an apocalyptic number.

242104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242104400 is an abundant number, since it is smaller than the sum of its proper divisors (339552382).

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

242104400 is a wasteful number, since it uses less digits than its factorization.

242104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605279 (or 605268 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 242104400 is about 15559.7043673715. The cubic root of 242104400 is about 623.2575681375.

Adding to 242104400 its reverse (4401242), we get a palindrome (246505642).

The spelling of 242104400 in words is "two hundred forty-two million, one hundred four thousand, four hundred".