1413431200 has 72 divisors (see below), whose sum is σ = 3464778240. Its totient is φ = 563040000.

The previous prime is 1413431197. The next prime is 1413431237. The reversal of 1413431200 is 21343141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197281 + ... + 204319.

It is an arithmetic number, because the mean of its divisors is an integer number (48121920).

Almost surely, 2^1413431200 is an apocalyptic number.

1413431200 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 1413431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

1413431200 is an abundant number, since it is smaller than the sum of its proper divisors (2051347040).

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

1413431200 is a wasteful number, since it uses less digits than its factorization.

1413431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1413431200 is about 37595.6274053247. The cubic root of 1413431200 is about 1122.2550229859.

Adding to 1413431200 its reverse (21343141), we get a palindrome (1434774341).

The spelling of 1413431200 in words is "one billion, four hundred thirteen million, four hundred thirty-one thousand, two hundred".