1238315520 has 320 divisors, whose sum is σ = 4344721920. Its totient is φ = 299040768.

The previous prime is 1238315503. The next prime is 1238315527. The reversal of 1238315520 is 255138321.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1238315527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7887282 + ... + 7887438.

It is an arithmetic number, because the mean of its divisors is an integer number (13577256).

Almost surely, 2^1238315520 is an apocalyptic number.

1238315520 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 1238315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172360960).

1238315520 is an abundant number, since it is smaller than the sum of its proper divisors (3106406400).

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

1238315520 is a wasteful number, since it uses less digits than its factorization.

1238315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1238315520 is about 35189.7075861679. The cubic root of 1238315520 is about 1073.8503722279.

The spelling of 1238315520 in words is "one billion, two hundred thirty-eight million, three hundred fifteen thousand, five hundred twenty".