242414172 has 324 divisors, whose sum is σ = 865316088. Its totient is φ = 56246400.

The previous prime is 242414119. The next prime is 242414173. The reversal of 242414172 is 271414242.

242414172 is a `hidden beast` number, since 2 + 4 + 241 + 417 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242414173) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7819797 + ... + 7819827.

Almost surely, 2^242414172 is an apocalyptic number.

242414172 is a gapful number since it is divisible by the number (22) 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 242414172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432658044).

242414172 is an abundant number, since it is smaller than the sum of its proper divisors (622901916).

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

242414172 is a wasteful number, since it uses less digits than its factorization.

242414172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 242414172 is about 15569.6554875180. The cubic root of 242414172 is about 623.5232737018.

It can be divided in two parts, 242 and 414172, that added together give a palindrome (414414).

The spelling of 242414172 in words is "two hundred forty-two million, four hundred fourteen thousand, one hundred seventy-two".