71409408 has 144 divisors (see below), whose sum is σ = 223695360. Its totient is φ = 19795968.

The previous prime is 71409407. The next prime is 71409427. The reversal of 71409408 is 80490417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71409407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198733 + ... + 199091.

It is an arithmetic number, because the mean of its divisors is an integer number (1553440).

Almost surely, 2^71409408 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 71409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111847680).

71409408 is an abundant number, since it is smaller than the sum of its proper divisors (152285952).

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

71409408 is a wasteful number, since it uses less digits than its factorization.

71409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 71409408 is about 8450.4087475104. The cubic root of 71409408 is about 414.8761579475.

It can be divided in two parts, 71409 and 408, that added together give a palindrome (71817).

The spelling of 71409408 in words is "seventy-one million, four hundred nine thousand, four hundred eight".