242667744 has 48 divisors (see below), whose sum is σ = 694915200. Its totient is φ = 73535360.

The previous prime is 242667743. The next prime is 242667749. The reversal of 242667744 is 447766242.

It is a happy number.

242667744 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 242667696 and 242667705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242667743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113844 + ... + 115955.

It is an arithmetic number, because the mean of its divisors is an integer number (14477400).

Almost surely, 2^242667744 is an apocalyptic number.

242667744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242667744 is an abundant number, since it is smaller than the sum of its proper divisors (452247456).

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

242667744 is a wasteful number, since it uses less digits than its factorization.

242667744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229823 (or 229815 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 242667744 is about 15577.7965065666. The cubic root of 242667744 is about 623.7406055321.

The spelling of 242667744 in words is "two hundred forty-two million, six hundred sixty-seven thousand, seven hundred forty-four".