242253414 has 72 divisors (see below), whose sum is σ = 585897312. Its totient is φ = 71910720.

The previous prime is 242253413. The next prime is 242253433. The reversal of 242253414 is 414352242.

242253414 is a `hidden beast` number, since 24 + 225 + 3 + 414 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242253413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196179 + ... + 197409.

Almost surely, 2^242253414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242253414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292948656).

242253414 is an abundant number, since it is smaller than the sum of its proper divisors (343643898).

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

242253414 is a wasteful number, since it uses less digits than its factorization.

242253414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1278 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 242253414 is about 15564.4920893680. The cubic root of 242253414 is about 623.3854125100.

The spelling of 242253414 in words is "two hundred forty-two million, two hundred fifty-three thousand, four hundred fourteen".