8480448400 has 30 divisors (see below), whose sum is σ = 20374278242. Its totient is φ = 3392179200.

The previous prime is 8480448341. The next prime is 8480448439. The reversal of 8480448400 is 48440848.

It can be written as a sum of positive squares in 3 ways, for example, as 2458624 + 8477989776 = 1568^2 + 92076^2 .

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

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, 10600161 + ... + 10600960.

Almost surely, 2^8480448400 is an apocalyptic number.

8480448400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8480448400 is an abundant number, since it is smaller than the sum of its proper divisors (11893829842).

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

8480448400 is a wasteful number, since it uses less digits than its factorization.

8480448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21201139 (or 21201128 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 8480448400 is about 92089.3500900077. The cubic root of 8480448400 is about 2039.2615871661.

It can be divided in two parts, 8480448 and 400, that added together give a palindrome (8480848).

The spelling of 8480448400 in words is "eight billion, four hundred eighty million, four hundred forty-eight thousand, four hundred".