242400768 has 40 divisors (see below), whose sum is σ = 645774888. Its totient is φ = 80799744.

The previous prime is 242400757. The next prime is 242400787. The reversal of 242400768 is 867004242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77371 + ... + 80442.

Almost surely, 2^242400768 is an apocalyptic number.

It is an amenable number.

242400768 is an abundant number, since it is smaller than the sum of its proper divisors (403374120).

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

242400768 is an equidigital number, since it uses as much as digits as its factorization.

242400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157834 (or 157818 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 242400768 is about 15569.2250288831. The cubic root of 242400768 is about 623.5117811669.

The spelling of 242400768 in words is "two hundred forty-two million, four hundred thousand, seven hundred sixty-eight".