1338408 has 48 divisors (see below), whose sum is σ = 3755700. Its totient is φ = 430080.

The previous prime is 1338397. The next prime is 1338413. The reversal of 1338408 is 8048331.

It can be written as a sum of positive squares in 2 ways, for example, as 1258884 + 79524 = 1122^2 + 282^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1768 + ... + 2408.

2^1338408 is an apocalyptic number.

1338408 is a gapful number since it is divisible by the number (18) 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 1338408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877850).

1338408 is an abundant number, since it is smaller than the sum of its proper divisors (2417292).

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

1338408 is a wasteful number, since it uses less digits than its factorization.

1338408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 675 counting only the distinct ones).

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

The square root of 1338408 is about 1156.8958466517. The cubic root of 1338408 is about 110.2036996879.

The spelling of 1338408 in words is "one million, three hundred thirty-eight thousand, four hundred eight".