1350400 has 54 divisors (see below), whose sum is σ = 3358292. Its totient is φ = 537600.

The previous prime is 1350383. The next prime is 1350403. The reversal of 1350400 is 40531.

It is not an unprimeable number, because it can be changed into a prime (1350403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6295 + ... + 6505.

2^1350400 is an apocalyptic number.

1350400 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 1350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679146).

1350400 is an abundant number, since it is smaller than the sum of its proper divisors (2007892).

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

1350400 is an equidigital number, since it uses as much as digits as its factorization.

1350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1350400 is about 1162.0671237067. The cubic root of 1350400 is about 110.5318595302.

Adding to 1350400 its reverse (40531), we get a palindrome (1390931).

The spelling of 1350400 in words is "one million, three hundred fifty thousand, four hundred".