1413971328 has 512 divisors, whose sum is σ = 5181926400. Its totient is φ = 330301440.

The previous prime is 1413971327. The next prime is 1413971333. The reversal of 1413971328 is 8231793141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413971323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14576976 + ... + 14577072.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^1413971328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590963200).

1413971328 is an abundant number, since it is smaller than the sum of its proper divisors (3767955072).

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

1413971328 is a wasteful number, since it uses less digits than its factorization.

1413971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 1413971328 is about 37602.8101077566. The cubic root of 1413971328 is about 1122.3979574668.

The spelling of 1413971328 in words is "one billion, four hundred thirteen million, nine hundred seventy-one thousand, three hundred twenty-eight".