448080000400 has 60 divisors (see below), whose sum is σ = 1092579612592. Its totient is φ = 176556885120.

The previous prime is 448080000367. The next prime is 448080000409. The reversal of 448080000400 is 4000080844.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (448080000409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8332902 + ... + 8386501.

Almost surely, 2^448080000400 is an apocalyptic number.

448080000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448080000400 is an abundant number, since it is smaller than the sum of its proper divisors (644499612192).

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

448080000400 is a wasteful number, since it uses less digits than its factorization.

448080000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16719488 (or 16719477 counting only the distinct ones).

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

The spelling of 448080000400 in words is "four hundred forty-eight billion, eighty million, four hundred", and thus it is an aban number.