8417649240 has 1152 divisors, whose sum is σ = 38720747520. Its totient is φ = 1557964800.

The previous prime is 8417649217. The next prime is 8417649241. The reversal of 8417649240 is 429467148.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8417649241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118558405 + ... + 118558475.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^8417649240 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 8417649240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19360373760).

8417649240 is an abundant number, since it is smaller than the sum of its proper divisors (30303098280).

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

8417649240 is a wasteful number, since it uses less digits than its factorization.

8417649240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

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

The square root of 8417649240 is about 91747.7478742666. The cubic root of 8417649240 is about 2034.2154179367.

The spelling of 8417649240 in words is "eight billion, four hundred seventeen million, six hundred forty-nine thousand, two hundred forty".