8204451840 has 432 divisors, whose sum is σ = 30916096848. Its totient is φ = 2000683008.

The previous prime is 8204451839. The next prime is 8204451851. The reversal of 8204451840 is 481544028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8204451795 and 8204451804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76677067 + ... + 76677173.

It is an arithmetic number, because the mean of its divisors is an integer number (71565039).

Almost surely, 2^8204451840 is an apocalyptic number.

8204451840 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 8204451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458048424).

8204451840 is an abundant number, since it is smaller than the sum of its proper divisors (22711645008).

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

8204451840 is a wasteful number, since it uses less digits than its factorization.

8204451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8204451840 is about 90578.4292202067. The cubic root of 8204451840 is about 2016.8945387690.

Adding to 8204451840 its reverse (481544028), we get a palindrome (8685995868).

The spelling of 8204451840 in words is "eight billion, two hundred four million, four hundred fifty-one thousand, eight hundred forty".