1238229792 has 72 divisors (see below), whose sum is σ = 3546663120. Its totient is φ = 409760640.

The previous prime is 1238229767. The next prime is 1238229841. The reversal of 1238229792 is 2979228321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24567 + ... + 55497.

It is an arithmetic number, because the mean of its divisors is an integer number (49259210).

Almost surely, 2^1238229792 is an apocalyptic number.

1238229792 is a gapful number since it is divisible by the number (12) 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 1238229792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773331560).

1238229792 is an abundant number, since it is smaller than the sum of its proper divisors (2308433328).

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

1238229792 is a wasteful number, since it uses less digits than its factorization.

1238229792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31086 (or 31075 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1238229792 is about 35188.4894816473. The cubic root of 1238229792 is about 1073.8255909375.

The spelling of 1238229792 in words is "one billion, two hundred thirty-eight million, two hundred twenty-nine thousand, seven hundred ninety-two".