242314464 has 96 divisors (see below), whose sum is σ = 769741056. Its totient is φ = 65157120.

The previous prime is 242314427. The next prime is 242314477. The reversal of 242314464 is 464413242.

242314464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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, 819 + ... + 22029.

It is an arithmetic number, because the mean of its divisors is an integer number (8018136).

Almost surely, 2^242314464 is an apocalyptic number.

242314464 is a gapful number since it is divisible by the number (24) 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 242314464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384870528).

242314464 is an abundant number, since it is smaller than the sum of its proper divisors (527426592).

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

242314464 is a wasteful number, since it uses less digits than its factorization.

242314464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248 (or 21240 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 242314464 is about 15566.4531605629. The cubic root of 242314464 is about 623.4377743216.

The spelling of 242314464 in words is "two hundred forty-two million, three hundred fourteen thousand, four hundred sixty-four".