242431020 has 144 divisors (see below), whose sum is σ = 796871712. Its totient is φ = 59304960.

The previous prime is 242431003. The next prime is 242431037. The reversal of 242431020 is 20134242.

242431020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242431003) and next prime (242431037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242430984 and 242431002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732255 + ... + 732585.

Almost surely, 2^242431020 is an apocalyptic number.

242431020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398435856).

242431020 is an abundant number, since it is smaller than the sum of its proper divisors (554440692).

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

242431020 is a wasteful number, since it uses less digits than its factorization.

242431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242431020 is about 15570.1965305516. The cubic root of 242431020 is about 623.5377185074.

Adding to 242431020 its reverse (20134242), we get a palindrome (262565262).

The spelling of 242431020 in words is "two hundred forty-two million, four hundred thirty-one thousand, twenty".