242646432 has 96 divisors (see below), whose sum is σ = 742896000. Its totient is φ = 69318144.

The previous prime is 242646431. The next prime is 242646449. The reversal of 242646432 is 234646242.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 242646393 and 242646402.

It is not an unprimeable number, because it can be changed into a prime (242646431) 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, 29244 + ... + 36612.

It is an arithmetic number, because the mean of its divisors is an integer number (7738500).

Almost surely, 2^242646432 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 242646432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371448000).

242646432 is an abundant number, since it is smaller than the sum of its proper divisors (500249568).

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

242646432 is an equidigital number, since it uses as much as digits as its factorization.

242646432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7381 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 242646432 is about 15577.1124410142. The cubic root of 242646432 is about 623.7223452437.

The spelling of 242646432 in words is "two hundred forty-two million, six hundred forty-six thousand, four hundred thirty-two".