8048408400 has 240 divisors, whose sum is σ = 29892789120. Its totient is φ = 2052864000.

The previous prime is 8048408371. The next prime is 8048408419. The reversal of 8048408400 is 48048408.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232200 + ... + 264600.

It is an arithmetic number, because the mean of its divisors is an integer number (124553288).

Almost surely, 2^8048408400 is an apocalyptic number.

8048408400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8048408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946394560).

8048408400 is an abundant number, since it is smaller than the sum of its proper divisors (21844380720).

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

8048408400 is a wasteful number, since it uses less digits than its factorization.

8048408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32451 (or 32434 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8048408400 is about 89712.9221461435. The cubic root of 8048408400 is about 2004.0259238642.

The spelling of 8048408400 in words is "eight billion, forty-eight million, four hundred eight thousand, four hundred".