842232384 has 336 divisors, whose sum is σ = 2988259200. Its totient is φ = 232339968.

The previous prime is 842232383. The next prime is 842232407. The reversal of 842232384 is 483232248.

It is a happy number.

842232384 is a `hidden beast` number, since 8 + 42 + 232 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (842232383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29042482 + ... + 29042510.

Almost surely, 2^842232384 is an apocalyptic number.

842232384 is a gapful number since it is divisible by the number (84) 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 842232384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494129600).

842232384 is an abundant number, since it is smaller than the sum of its proper divisors (2146026816).

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

842232384 is an frugal number, since it uses more digits than its factorization.

842232384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 842232384 is about 29021.2402216032. The cubic root of 842232384 is about 944.3739062715.

The spelling of 842232384 in words is "eight hundred forty-two million, two hundred thirty-two thousand, three hundred eighty-four".