9409959000 has 1024 divisors, whose sum is σ = 39626496000. Its totient is φ = 2040422400.

The previous prime is 9409958989. The next prime is 9409959023. The reversal of 9409959000 is 9599049.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 113372959 + ... + 113373041.

It is an arithmetic number, because the mean of its divisors is an integer number (38697750).

Almost surely, 2^9409959000 is an apocalyptic number.

9409959000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9409959000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248000).

9409959000 is an abundant number, since it is smaller than the sum of its proper divisors (30216537000).

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

9409959000 is a wasteful number, since it uses less digits than its factorization.

9409959000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 9409959000 is about 97004.9431730157. The cubic root of 9409959000 is about 2111.1993510875.

The spelling of 9409959000 in words is "nine billion, four hundred nine million, nine hundred fifty-nine thousand".