1413813906 has 64 divisors (see below), whose sum is σ = 3240518400. Its totient is φ = 456624000.

The previous prime is 1413813901. The next prime is 1413813913. The reversal of 1413813906 is 6093183141.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1413813901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332200 + ... + 336428.

It is an arithmetic number, because the mean of its divisors is an integer number (50633100).

Almost surely, 2^1413813906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413813906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620259200).

1413813906 is an abundant number, since it is smaller than the sum of its proper divisors (1826704494).

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

1413813906 is a wasteful number, since it uses less digits than its factorization.

1413813906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1413813906 is about 37600.7168282734. The cubic root of 1413813906 is about 1122.3563025230.

The spelling of 1413813906 in words is "one billion, four hundred thirteen million, eight hundred thirteen thousand, nine hundred six".