242541432 has 128 divisors (see below), whose sum is σ = 786585600. Its totient is φ = 67803264.

The previous prime is 242541367. The next prime is 242541433. The reversal of 242541432 is 234145242.

242541432 is a `hidden beast` number, since 242 + 5 + 414 + 3 + 2 = 666.

It is a super-2 number, since 2×242541432² = 117652692473221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242541396 and 242541405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242541433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69358 + ... + 72770.

It is an arithmetic number, because the mean of its divisors is an integer number (6145200).

Almost surely, 2^242541432 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 242541432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393292800).

242541432 is an abundant number, since it is smaller than the sum of its proper divisors (544044168).

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

242541432 is a wasteful number, since it uses less digits than its factorization.

242541432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3472 counting only the distinct ones).

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

The square root of 242541432 is about 15573.7417469277. The cubic root of 242541432 is about 623.6323648079.

Adding to 242541432 its reverse (234145242), we get a palindrome (476686674).

The spelling of 242541432 in words is "two hundred forty-two million, five hundred forty-one thousand, four hundred thirty-two".