1338972480 has 168 divisors, whose sum is σ = 4653957672. Its totient is φ = 353304576.

The previous prime is 1338972473. The next prime is 1338972487. The reversal of 1338972480 is 842798331.

It is an interprime number because it is at equal distance from previous prime (1338972473) and next prime (1338972487).

It can be written as a sum of positive squares in 4 ways, for example, as 307791936 + 1031180544 = 17544^2 + 32112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338972487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276964 + ... + 281756.

It is an arithmetic number, because the mean of its divisors is an integer number (27702129).

Almost surely, 2^1338972480 is an apocalyptic number.

1338972480 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 1338972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326978836).

1338972480 is an abundant number, since it is smaller than the sum of its proper divisors (3314985192).

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

1338972480 is a wasteful number, since it uses less digits than its factorization.

1338972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1338972480 is about 36591.9728902392. The cubic root of 1338972480 is about 1102.1919049018.

The spelling of 1338972480 in words is "one billion, three hundred thirty-eight million, nine hundred seventy-two thousand, four hundred eighty".