1238833224 has 64 divisors (see below), whose sum is σ = 3460536000. Its totient is φ = 410637456.

The previous prime is 1238833217. The next prime is 1238833243. The reversal of 1238833224 is 4223388321.

The cubic root of 1238833224 is 1074.

It is a perfect power (a cube), and thus also a powerful number.

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 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, 6920767 + ... + 6920945.

It is an arithmetic number, because the mean of its divisors is an integer number (54070875).

Almost surely, 2^1238833224 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 1238833224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730268000).

1238833224 is an abundant number, since it is smaller than the sum of its proper divisors (2221702776).

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

1238833224 is an frugal number, since it uses more digits than its factorization.

1238833224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 184 counting only the distinct ones).

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

The square root of 1238833224 is about 35197.0627183576.

The spelling of 1238833224 in words is "one billion, two hundred thirty-eight million, eight hundred thirty-three thousand, two hundred twenty-four".