1409538408 has 128 divisors (see below), whose sum is σ = 3946320000. Its totient is φ = 416931840.

The previous prime is 1409538401. The next prime is 1409538437. The reversal of 1409538408 is 8048359041.

It is a self number, because there is not a number n which added to its sum of digits gives 1409538408.

It is not an unprimeable number, because it can be changed into a prime (1409538401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2705188 + ... + 2705708.

It is an arithmetic number, because the mean of its divisors is an integer number (30830625).

Almost surely, 2^1409538408 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 1409538408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973160000).

1409538408 is an abundant number, since it is smaller than the sum of its proper divisors (2536781592).

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

1409538408 is a wasteful number, since it uses less digits than its factorization.

1409538408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1409538408 is about 37543.8198376244. The cubic root of 1409538408 is about 1121.2237919873.

The spelling of 1409538408 in words is "one billion, four hundred nine million, five hundred thirty-eight thousand, four hundred eight".