1438308480 has 256 divisors, whose sum is σ = 5295513600. Its totient is φ = 325251072.

The previous prime is 1438308463. The next prime is 1438308481. The reversal of 1438308480 is 848038341.

It is not an unprimeable number, because it can be changed into a prime (1438308481) 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, 1383801 + ... + 1384839.

It is an arithmetic number, because the mean of its divisors is an integer number (20685600).

Almost surely, 2^1438308480 is an apocalyptic number.

1438308480 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 1438308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647756800).

1438308480 is an abundant number, since it is smaller than the sum of its proper divisors (3857205120).

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

1438308480 is a wasteful number, since it uses less digits than its factorization.

1438308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1438308480 is about 37925.0376400604. The cubic root of 1438308480 is about 1128.8008999513.

The spelling of 1438308480 in words is "one billion, four hundred thirty-eight million, three hundred eight thousand, four hundred eighty".