8000484400 has 60 divisors (see below), whose sum is σ = 19368017064. Its totient is φ = 3175744000.

The previous prime is 8000484383. The next prime is 8000484403. The reversal of 8000484400 is 44840008.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8000484403) 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, 23941 + ... + 128740.

Almost surely, 2^8000484400 is an apocalyptic number.

8000484400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8000484400 is an abundant number, since it is smaller than the sum of its proper divisors (11367532664).

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

8000484400 is a wasteful number, since it uses less digits than its factorization.

8000484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152830 (or 152819 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 8000484400 is about 89445.4269373231. The cubic root of 8000484400 is about 2000.0403658520.

The spelling of 8000484400 in words is "eight billion, four hundred eighty-four thousand, four hundred".