242823744 has 140 divisors (see below), whose sum is σ = 743516928. Its totient is φ = 78278400.

The previous prime is 242823731. The next prime is 242823803. The reversal of 242823744 is 447328242.

242823744 is a `hidden beast` number, since 2 + 4 + 282 + 374 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 242823699 and 242823708.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159949 + ... + 161459.

Almost surely, 2^242823744 is an apocalyptic number.

242823744 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 242823744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371758464).

242823744 is an abundant number, since it is smaller than the sum of its proper divisors (500693184).

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

242823744 is a wasteful number, since it uses less digits than its factorization.

242823744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1547 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 242823744 is about 15582.8028287597. The cubic root of 242823744 is about 623.8742350092.

The spelling of 242823744 in words is "two hundred forty-two million, eight hundred twenty-three thousand, seven hundred forty-four".