48480084400 has 120 divisors (see below), whose sum is σ = 127220701104. Its totient is φ = 17607091200.

The previous prime is 48480084377. The next prime is 48480084451. The reversal of 48480084400 is 448008484.

It is a super-2 number, since 2×48480084400² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3746742 + ... + 3759658.

Almost surely, 2^48480084400 is an apocalyptic number.

48480084400 is a gapful number since it is divisible by the number (40) 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 48480084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63610350552).

48480084400 is an abundant number, since it is smaller than the sum of its proper divisors (78740616704).

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

48480084400 is a wasteful number, since it uses less digits than its factorization.

48480084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13788 counting only the distinct ones).

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

The spelling of 48480084400 in words is "forty-eight billion, four hundred eighty million, eighty-four thousand, four hundred".