1331400 has 96 divisors (see below), whose sum is σ = 4731840. Its totient is φ = 303360.

The previous prime is 1331399. The next prime is 1331411. The reversal of 1331400 is 41331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4042 + ... + 4358.

It is an arithmetic number, because the mean of its divisors is an integer number (49290).

2^1331400 is an apocalyptic number.

1331400 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 1331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365920).

1331400 is an abundant number, since it is smaller than the sum of its proper divisors (3400440).

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

1331400 is a wasteful number, since it uses less digits than its factorization.

1331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1331400 is about 1153.8630767990. The cubic root of 1331400 is about 110.0110181801.

Adding to 1331400 its reverse (41331), we get a palindrome (1372731).

It can be divided in two parts, 13 and 31400, that added together give a palindrome (31413).

The spelling of 1331400 in words is "one million, three hundred thirty-one thousand, four hundred".