1329400 has 72 divisors (see below), whose sum is σ = 3426120. Its totient is φ = 478720.

The previous prime is 1329397. The next prime is 1329407. The reversal of 1329400 is 49231.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57789 + ... + 57811.

It is an arithmetic number, because the mean of its divisors is an integer number (47585).

2^1329400 is an apocalyptic number.

1329400 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 1329400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713060).

1329400 is an abundant number, since it is smaller than the sum of its proper divisors (2096720).

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

1329400 is a wasteful number, since it uses less digits than its factorization.

1329400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1329400 is about 1152.9960971313. The cubic root of 1329400 is about 109.9559051914.

The spelling of 1329400 in words is "one million, three hundred twenty-nine thousand, four hundred".