242378976 has 96 divisors (see below), whose sum is σ = 730211328. Its totient is φ = 68958720.

The previous prime is 242378963. The next prime is 242378993. The reversal of 242378976 is 679873242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 196281 + ... + 197511.

It is an arithmetic number, because the mean of its divisors is an integer number (7606368).

Almost surely, 2^242378976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365105664).

242378976 is an abundant number, since it is smaller than the sum of its proper divisors (487832352).

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

242378976 is a wasteful number, since it uses less digits than its factorization.

242378976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1536 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 242378976 is about 15568.5251709981. The cubic root of 242378976 is about 623.4930958906.

The spelling of 242378976 in words is "two hundred forty-two million, three hundred seventy-eight thousand, nine hundred seventy-six".