8478318400 has 42 divisors (see below), whose sum is σ = 20861966150. Its totient is φ = 3391326720.

The previous prime is 8478318379. The next prime is 8478318427. The reversal of 8478318400 is 48138748.

It can be written as a sum of positive squares in 3 ways, for example, as 304711936 + 8173606464 = 17456^2 + 90408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2647875 + ... + 2651074.

Almost surely, 2^8478318400 is an apocalyptic number.

8478318400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8478318400 is an abundant number, since it is smaller than the sum of its proper divisors (12383647750).

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

8478318400 is a wasteful number, since it uses less digits than its factorization.

8478318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298971 (or 5298956 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 8478318400 is about 92077.7845085339. The cubic root of 8478318400 is about 2039.0908418358.

The spelling of 8478318400 in words is "eight billion, four hundred seventy-eight million, three hundred eighteen thousand, four hundred".