8248456440 has 384 divisors, whose sum is σ = 33491128320. Its totient is φ = 1716940800.

The previous prime is 8248456429. The next prime is 8248456451. The reversal of 8248456440 is 446548428.

8248456440 is a `hidden beast` number, since 8 + 2 + 4 + 84 + 564 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8248456429) and next prime (8248456451).

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 95 ways as a sum of consecutive naturals, for example, 1324935 + ... + 1331145.

It is an arithmetic number, because the mean of its divisors is an integer number (87216480).

Almost surely, 2^8248456440 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 8248456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745564160).

8248456440 is an abundant number, since it is smaller than the sum of its proper divisors (25242671880).

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

8248456440 is a wasteful number, since it uses less digits than its factorization.

8248456440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 8248456440 is about 90821.0132072969. The cubic root of 8248456440 is about 2020.4939843410.

The spelling of 8248456440 in words is "eight billion, two hundred forty-eight million, four hundred fifty-six thousand, four hundred forty".