8454438400 has 60 divisors (see below), whose sum is σ = 20946563352. Its totient is φ = 3381770240.

The previous prime is 8454438397. The next prime is 8454438437. The reversal of 8454438400 is 48344548.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 317452 + ... + 343051.

Almost surely, 2^8454438400 is an apocalyptic number.

8454438400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8454438400 is an abundant number, since it is smaller than the sum of its proper divisors (12492124952).

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

8454438400 is an equidigital number, since it uses as much as digits as its factorization.

8454438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660531 (or 660510 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The square root of 8454438400 is about 91948.0200983142. The cubic root of 8454438400 is about 2037.1746097362.

The spelling of 8454438400 in words is "eight billion, four hundred fifty-four million, four hundred thirty-eight thousand, four hundred".