242100414 has 48 divisors (see below), whose sum is σ = 547747200. Its totient is φ = 80141400.

The previous prime is 242100407. The next prime is 242100427. The reversal of 242100414 is 414001242.

242100414 is a `hidden beast` number, since 242 + 10 + 0 + 414 = 666.

It is a super-2 number, since 2×242100414² = 117225220917942792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71737 + ... + 75035.

It is an arithmetic number, because the mean of its divisors is an integer number (11411400).

Almost surely, 2^242100414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242100414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273873600).

242100414 is an abundant number, since it is smaller than the sum of its proper divisors (305646786).

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

242100414 is a wasteful number, since it uses less digits than its factorization.

242100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242100414 is about 15559.5762795778. The cubic root of 242100414 is about 623.2541476871.

Adding to 242100414 its reverse (414001242), we get a palindrome (656101656).

The spelling of 242100414 in words is "two hundred forty-two million, one hundred thousand, four hundred fourteen".