8454196800 has 420 divisors, whose sum is σ = 35518669120. Its totient is φ = 1932180480.

The previous prime is 8454196757. The next prime is 8454196823. The reversal of 8454196800 is 86914548.

8454196800 is a `hidden beast` number, since 8 + 454 + 196 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 902541 + ... + 911859.

Almost surely, 2^8454196800 is an apocalyptic number.

8454196800 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 8454196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759334560).

8454196800 is an abundant number, since it is smaller than the sum of its proper divisors (27064472320).

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

8454196800 is a wasteful number, since it uses less digits than its factorization.

8454196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8454196800 is about 91946.7063031624. The cubic root of 8454196800 is about 2037.1552043047.

The spelling of 8454196800 in words is "eight billion, four hundred fifty-four million, one hundred ninety-six thousand, eight hundred".