1013805408 has 384 divisors, whose sum is σ = 3553320960. Its totient is φ = 245329920.

The previous prime is 1013805391. The next prime is 1013805449. The reversal of 1013805408 is 8045083101.

1013805408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11391028 + ... + 11391116.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^1013805408 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 1013805408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776660480).

1013805408 is an abundant number, since it is smaller than the sum of its proper divisors (2539515552).

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

1013805408 is a wasteful number, since it uses less digits than its factorization.

1013805408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1013805408 is about 31840.3110537570. The cubic root of 1013805408 is about 1004.5807870165.

Adding to 1013805408 its reverse (8045083101), we get a palindrome (9058888509).

The spelling of 1013805408 in words is "one billion, thirteen million, eight hundred five thousand, four hundred eight".