1338300 has 54 divisors (see below), whose sum is σ = 4197648. Its totient is φ = 356640.

The previous prime is 1338299. The next prime is 1338319. The reversal of 1338300 is 38331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 157 + ... + 1643.

2^1338300 is an apocalyptic number.

1338300 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 1338300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098824).

1338300 is an abundant number, since it is smaller than the sum of its proper divisors (2859348).

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

1338300 is a wasteful number, since it uses less digits than its factorization.

1338300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1338300 is about 1156.8491690795. The cubic root of 1338300 is about 110.2007353901.

The spelling of 1338300 in words is "one million, three hundred thirty-eight thousand, three hundred".