242100400 has 60 divisors (see below), whose sum is σ = 615877992. Its totient is φ = 91141120.

The previous prime is 242100379. The next prime is 242100407. The reversal of 242100400 is 4001242.

It is a super-2 number, since 2×242100400² = 117225207360320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242100407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11002 + ... + 24601.

Almost surely, 2^242100400 is an apocalyptic number.

242100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242100400 is an abundant number, since it is smaller than the sum of its proper divisors (373777592).

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

242100400 is a wasteful number, since it uses less digits than its factorization.

242100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35638 (or 35627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 242100400 is about 15559.5758296941. The cubic root of 242100400 is about 623.2541356734.

Adding to 242100400 its reverse (4001242), we get a palindrome (246101642).

The spelling of 242100400 in words is "two hundred forty-two million, one hundred thousand, four hundred".