1338480 has 180 divisors, whose sum is σ = 5309928. Its totient is φ = 299520.

The previous prime is 1338479. The next prime is 1338481. The reversal of 1338480 is 848331.

It is an interprime number because it is at equal distance from previous prime (1338479) and next prime (1338481).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102954 + ... + 102966.

2^1338480 is an apocalyptic number.

1338480 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 1338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654964).

1338480 is an abundant number, since it is smaller than the sum of its proper divisors (3971448).

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

1338480 is a wasteful number, since it uses less digits than its factorization.

1338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1338480 is about 1156.9269639869. The cubic root of 1338480 is about 110.2056757979.

The spelling of 1338480 in words is "one million, three hundred thirty-eight thousand, four hundred eighty".