242146944 has 384 divisors, whose sum is σ = 846518400. Its totient is φ = 65691648.

The previous prime is 242146847. The next prime is 242146987. The reversal of 242146944 is 449641242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242146899 and 242146908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6544494 + ... + 6544530.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 2^242146944 is an apocalyptic number.

242146944 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 242146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423259200).

242146944 is an abundant number, since it is smaller than the sum of its proper divisors (604371456).

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

242146944 is a wasteful number, since it uses less digits than its factorization.

242146944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 242146944 is about 15561.0714284075. The cubic root of 242146944 is about 623.2940734867.

The spelling of 242146944 in words is "two hundred forty-two million, one hundred forty-six thousand, nine hundred forty-four".