8204486400 has 648 divisors, whose sum is σ = 33450109056. Its totient is φ = 1899110400.

The previous prime is 8204486371. The next prime is 8204486413. The reversal of 8204486400 is 46844028.

8204486400 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 4 + 8 + 640 + 0 = 666.

It is a super-3 number, since 3×8204486400³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14572519 + ... + 14573081.

Almost surely, 2^8204486400 is an apocalyptic number.

8204486400 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 8204486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16725054528).

8204486400 is an abundant number, since it is smaller than the sum of its proper divisors (25245622656).

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

8204486400 is a wasteful number, since it uses less digits than its factorization.

8204486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8204486400 is about 90578.6199939036. The cubic root of 8204486400 is about 2016.8973707184.

The spelling of 8204486400 in words is "eight billion, two hundred four million, four hundred eighty-six thousand, four hundred".