1330400 has 36 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 531840.

The previous prime is 1330397. The next prime is 1330411. The reversal of 1330400 is 40331.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

2^1330400 is an apocalyptic number.

1330400 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 1330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

1330400 is an abundant number, since it is smaller than the sum of its proper divisors (1919392).

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

1330400 is a wasteful number, since it uses less digits than its factorization.

1330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1330400 is about 1153.4296684237. The cubic root of 1330400 is about 109.9834685901.

Adding to 1330400 its reverse (40331), we get a palindrome (1370731).

The spelling of 1330400 in words is "one million, three hundred thirty thousand, four hundred".