242154304 has 112 divisors (see below), whose sum is σ = 582875136. Its totient is φ = 97574400.

The previous prime is 242154301. The next prime is 242154317. The reversal of 242154304 is 403451242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242154301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731419 + ... + 731749.

Almost surely, 2^242154304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291437568).

242154304 is an abundant number, since it is smaller than the sum of its proper divisors (340720832).

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

242154304 is a wasteful number, since it uses less digits than its factorization.

242154304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 242154304 is about 15561.3079141825. The cubic root of 242154304 is about 623.3003883821.

The spelling of 242154304 in words is "two hundred forty-two million, one hundred fifty-four thousand, three hundred four".