1238224320 has 560 divisors, whose sum is σ = 4815157248. Its totient is φ = 301086720.

The previous prime is 1238224307. The next prime is 1238224331. The reversal of 1238224320 is 234228321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18480927 + ... + 18480993.

Almost surely, 2^1238224320 is an apocalyptic number.

1238224320 is a gapful number since it is divisible by the number (10) 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 1238224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407578624).

1238224320 is an abundant number, since it is smaller than the sum of its proper divisors (3576932928).

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

1238224320 is a wasteful number, since it uses less digits than its factorization.

1238224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1238224320 is about 35188.4117288632. The cubic root of 1238224320 is about 1073.8240091142.

The spelling of 1238224320 in words is "one billion, two hundred thirty-eight million, two hundred twenty-four thousand, three hundred twenty".