8714409000 has 256 divisors, whose sum is σ = 29832192000. Its totient is φ = 2100384000.

The previous prime is 8714408999. The next prime is 8714409007. The reversal of 8714409000 is 9044178.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8714409007) 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, 6566337 + ... + 6567663.

It is an arithmetic number, because the mean of its divisors is an integer number (116532000).

Almost surely, 2^8714409000 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 8714409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916096000).

8714409000 is an abundant number, since it is smaller than the sum of its proper divisors (21117783000).

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

8714409000 is a wasteful number, since it uses less digits than its factorization.

8714409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1547 counting only the distinct ones).

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

The square root of 8714409000 is about 93350.9989234181. The cubic root of 8714409000 is about 2057.8449357639.

It can be divided in two parts, 8714 and 409000, that added together give a palindrome (417714).

The spelling of 8714409000 in words is "eight billion, seven hundred fourteen million, four hundred nine thousand".