8480864400 has 120 divisors (see below), whose sum is σ = 28103945280. Its totient is φ = 2183569920.

The previous prime is 8480864389. The next prime is 8480864423. The reversal of 8480864400 is 44680848.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87052 + ... + 156651.

It is an arithmetic number, because the mean of its divisors is an integer number (234199544).

Almost surely, 2^8480864400 is an apocalyptic number.

8480864400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8480864400 is an abundant number, since it is smaller than the sum of its proper divisors (19623080880).

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

8480864400 is a wasteful number, since it uses less digits than its factorization.

8480864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243753 (or 243742 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 8480864400 is about 92091.6087382558. The cubic root of 8480864400 is about 2039.2949312736.

The spelling of 8480864400 in words is "eight billion, four hundred eighty million, eight hundred sixty-four thousand, four hundred".