242401900 has 72 divisors (see below), whose sum is σ = 569928800. Its totient is φ = 88957440.

The previous prime is 242401811. The next prime is 242401903. The reversal of 242401900 is 9104242.

242401900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242401900² = 117517362247220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242401903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258232 + ... + 259168.

Almost surely, 2^242401900 is an apocalyptic number.

242401900 is a gapful number since it is divisible by the number (20) 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 242401900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284964400).

242401900 is an abundant number, since it is smaller than the sum of its proper divisors (327526900).

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

242401900 is a wasteful number, since it uses less digits than its factorization.

242401900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 242401900 is about 15569.2613826090. The cubic root of 242401900 is about 623.5127517554.

The spelling of 242401900 in words is "two hundred forty-two million, four hundred one thousand, nine hundred".