8970409224 has 288 divisors, whose sum is σ = 29930472000. Its totient is φ = 2415861504.

The previous prime is 8970409223. The next prime is 8970409247. The reversal of 8970409224 is 4229040798.

It is a self number, because there is not a number n which added to its sum of digits gives 8970409224.

It is not an unprimeable number, because it can be changed into a prime (8970409223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4398397 + ... + 4400435.

It is an arithmetic number, because the mean of its divisors is an integer number (103925250).

Almost surely, 2^8970409224 is an apocalyptic number.

8970409224 is a gapful number since it is divisible by the number (84) 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 8970409224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965236000).

8970409224 is an abundant number, since it is smaller than the sum of its proper divisors (20960062776).

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

8970409224 is a wasteful number, since it uses less digits than its factorization.

8970409224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8970409224 is about 94712.2443193065. The cubic root of 8970409224 is about 2077.8016424821.

The spelling of 8970409224 in words is "eight billion, nine hundred seventy million, four hundred nine thousand, two hundred twenty-four".