1431400 has 48 divisors (see below), whose sum is σ = 3532140. Its totient is φ = 537600.

The previous prime is 1431389. The next prime is 1431413. The reversal of 1431400 is 41341.

It can be written as a sum of positive squares in 6 ways, for example, as 252004 + 1179396 = 502^2 + 1086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3190 + ... + 3610.

2^1431400 is an apocalyptic number.

1431400 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 1431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766070).

1431400 is an abundant number, since it is smaller than the sum of its proper divisors (2100740).

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

1431400 is a wasteful number, since it uses less digits than its factorization.

1431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1431400 is about 1196.4113005150. The cubic root of 1431400 is about 112.6990713990.

Adding to 1431400 its reverse (41341), we get a palindrome (1472741).

The spelling of 1431400 in words is "one million, four hundred thirty-one thousand, four hundred".