8217469440 has 400 divisors, whose sum is σ = 30729872448. Its totient is φ = 2094833664.

The previous prime is 8217469439. The next prime is 8217469441. The reversal of 8217469440 is 449647128.

8217469440 is a `hidden beast` number, since 82 + 1 + 74 + 69 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (8217469439) and next prime (8217469441).

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

It is not an unprimeable number, because it can be changed into a prime (8217469441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4768419 + ... + 4770141.

Almost surely, 2^8217469440 is an apocalyptic number.

8217469440 is a gapful number since it is divisible by the number (80) 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 8217469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364936224).

8217469440 is an abundant number, since it is smaller than the sum of its proper divisors (22512403008).

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

8217469440 is a wasteful number, since it uses less digits than its factorization.

8217469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8217469440 is about 90650.2589075177. The cubic root of 8217469440 is about 2017.9606775426.

The spelling of 8217469440 in words is "eight billion, two hundred seventeen million, four hundred sixty-nine thousand, four hundred forty".