8282454840 has 288 divisors, whose sum is σ = 29880854640. Its totient is φ = 1987983360.

The previous prime is 8282454827. The next prime is 8282454871. The reversal of 8282454840 is 484542828.

8282454840 is a `hidden beast` number, since 82 + 8 + 24 + 548 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4660032 + ... + 4661808.

Almost surely, 2^8282454840 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 8282454840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940427320).

8282454840 is an abundant number, since it is smaller than the sum of its proper divisors (21598399800).

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

8282454840 is a wasteful number, since it uses less digits than its factorization.

8282454840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 8282454840 is about 91007.9932753162. The cubic root of 8282454840 is about 2023.2661958682.

The spelling of 8282454840 in words is "eight billion, two hundred eighty-two million, four hundred fifty-four thousand, eight hundred forty".