1311400 has 48 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 511680.

The previous prime is 1311383. The next prime is 1311403. The reversal of 1311400 is 41131.

1311400 = 30³ + 31³ + ... + 49³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15759 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

2^1311400 is an apocalyptic number.

1311400 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 1311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1311400 is an abundant number, since it is smaller than the sum of its proper divisors (1813400).

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

1311400 is a wasteful number, since it uses less digits than its factorization.

1311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1311400 is about 1145.1637437502. The cubic root of 1311400 is about 109.4573828304.

Subtracting from 1311400 its sum of digits (10), we obtain a triangular number (1311390 = T₁₆₁₉).

Adding to 1311400 its reverse (41131), we get a palindrome (1352531).

It can be divided in two parts, 1311 and 400, that added together give a triangular number (1711 = T₅₈).

The spelling of 1311400 in words is "one million, three hundred eleven thousand, four hundred".