1413289600 has 96 divisors (see below), whose sum is σ = 3572807040. Its totient is φ = 552115200.

The previous prime is 1413289583. The next prime is 1413289607. The reversal of 1413289600 is 69823141.

It is not an unprimeable number, because it can be changed into a prime (1413289607) 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, 132465 + ... + 142735.

It is an arithmetic number, because the mean of its divisors is an integer number (37216740).

Almost surely, 2^1413289600 is an apocalyptic number.

1413289600 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 1413289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786403520).

1413289600 is an abundant number, since it is smaller than the sum of its proper divisors (2159517440).

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

1413289600 is a wasteful number, since it uses less digits than its factorization.

1413289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1413289600 is about 37593.7441604318. The cubic root of 1413289600 is about 1122.2175452466.

The spelling of 1413289600 in words is "one billion, four hundred thirteen million, two hundred eighty-nine thousand, six hundred".