242412864 has 56 divisors (see below), whose sum is σ = 642579360. Its totient is φ = 80653824.

The previous prime is 242412857. The next prime is 242412881. The reversal of 242412864 is 468214242.

242412864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 158407 + ... + 159929.

Almost surely, 2^242412864 is an apocalyptic number.

242412864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242412864 is an abundant number, since it is smaller than the sum of its proper divisors (400166496).

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

242412864 is a wasteful number, since it uses less digits than its factorization.

242412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2357 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 242412864 is about 15569.6134826784. The cubic root of 242412864 is about 623.5221522466.

The spelling of 242412864 in words is "two hundred forty-two million, four hundred twelve thousand, eight hundred sixty-four".