242142432 has 96 divisors (see below), whose sum is σ = 730582272. Its totient is φ = 68788224.

The previous prime is 242142421. The next prime is 242142443. The reversal of 242142432 is 234241242.

It is an interprime number because it is at equal distance from previous prime (242142421) and next prime (242142443).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128763 + ... + 130629.

It is an arithmetic number, because the mean of its divisors is an integer number (7610232).

Almost surely, 2^242142432 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 242142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365291136).

242142432 is an abundant number, since it is smaller than the sum of its proper divisors (488439840).

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

242142432 is a wasteful number, since it uses less digits than its factorization.

242142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 242142432 is about 15560.9264505684. The cubic root of 242142432 is about 623.2902021179.

Adding to 242142432 its reverse (234241242), we get a palindrome (476383674).

The spelling of 242142432 in words is "two hundred forty-two million, one hundred forty-two thousand, four hundred thirty-two".