1351400 has 48 divisors (see below), whose sum is σ = 3264300. Its totient is φ = 519680.

The previous prime is 1351397. The next prime is 1351403. The reversal of 1351400 is 41531.

It is an interprime number because it is at equal distance from previous prime (1351397) and next prime (1351403).

It can be written as a sum of positive squares in 6 ways, for example, as 306916 + 1044484 = 554^2 + 1022^2 .

It is not an unprimeable number, because it can be changed into a prime (1351403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5684 + ... + 5916.

2^1351400 is an apocalyptic number.

1351400 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 1351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632150).

1351400 is an abundant number, since it is smaller than the sum of its proper divisors (1912900).

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

1351400 is a wasteful number, since it uses less digits than its factorization.

1351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1351400 is about 1162.4973118248. The cubic root of 1351400 is about 110.5591365313.

Adding to 1351400 its reverse (41531), we get a palindrome (1392931).

The spelling of 1351400 in words is "one million, three hundred fifty-one thousand, four hundred".