8449309440 has 864 divisors, whose sum is σ = 35998470144. Its totient is φ = 1800437760.

The previous prime is 8449309423. The next prime is 8449309457. The reversal of 8449309440 is 449039448.

It is an interprime number because it is at equal distance from previous prime (8449309423) and next prime (8449309457).

It is a super-2 number, since 2×8449309440² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37889169 + ... + 37889391.

It is an arithmetic number, because the mean of its divisors is an integer number (41664896).

Almost surely, 2^8449309440 is an apocalyptic number.

8449309440 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 8449309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999235072).

8449309440 is an abundant number, since it is smaller than the sum of its proper divisors (27549160704).

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

8449309440 is a wasteful number, since it uses less digits than its factorization.

8449309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8449309440 is about 91920.1253262853. The cubic root of 8449309440 is about 2036.7625697238.

The spelling of 8449309440 in words is "eight billion, four hundred forty-nine million, three hundred nine thousand, four hundred forty".