8482400 has 72 divisors (see below), whose sum is σ = 21654864. Its totient is φ = 3238400.

The previous prime is 8482391. The next prime is 8482403. The reversal of 8482400 is 42848.

It is a super-2 number, since 2×8482400² = 143902219520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8482400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8482403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18170 + ... + 18630.

It is an arithmetic number, because the mean of its divisors is an integer number (300762).

Almost surely, 2^8482400 is an apocalyptic number.

8482400 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 8482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827432).

8482400 is an abundant number, since it is smaller than the sum of its proper divisors (13172464).

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

8482400 is a wasteful number, since it uses less digits than its factorization.

8482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 8482400 is about 2912.4560082515. The cubic root of 8482400 is about 203.9418006476.

The spelling of 8482400 in words is "eight million, four hundred eighty-two thousand, four hundred".