9126409000 has 64 divisors (see below), whose sum is σ = 21394161360. Its totient is φ = 3644006400.

The previous prime is 9126408917. The next prime is 9126409031. The reversal of 9126409000 is 9046219.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4293656676 + 4832752324 = 65526^2 + 69518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569092 + ... + 584908.

Almost surely, 2^9126409000 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 9126409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697080680).

9126409000 is an abundant number, since it is smaller than the sum of its proper divisors (12267752360).

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

9126409000 is a wasteful number, since it uses less digits than its factorization.

9126409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16415 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 9126409000 is about 95532.2406311084. The cubic root of 9126409000 is about 2089.7771486173. Note that the first 3 decimals are identical.

The spelling of 9126409000 in words is "nine billion, one hundred twenty-six million, four hundred nine thousand".