8424585456 has 160 divisors (see below), whose sum is σ = 25885009920. Its totient is φ = 2310964992.

The previous prime is 8424585431. The next prime is 8424585457. The reversal of 8424585456 is 6545854248.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8424585399 and 8424585408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8424585457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847491 + ... + 857373.

It is an arithmetic number, because the mean of its divisors is an integer number (161781312).

Almost surely, 2^8424585456 is an apocalyptic number.

8424585456 is a gapful number since it is divisible by the number (86) 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 8424585456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942504960).

8424585456 is an abundant number, since it is smaller than the sum of its proper divisors (17460424464).

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

8424585456 is a wasteful number, since it uses less digits than its factorization.

8424585456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003 (or 9997 counting only the distinct ones).

The product of its digits is 6144000, while the sum is 51.

The square root of 8424585456 is about 91785.5405605916. The cubic root of 8424585456 is about 2034.7740015895.

The spelling of 8424585456 in words is "eight billion, four hundred twenty-four million, five hundred eighty-five thousand, four hundred fifty-six".