48408000480 has 288 divisors, whose sum is σ = 199897274304. Its totient is φ = 10413785088.

The previous prime is 48408000457. The next prime is 48408000491. The reversal of 48408000480 is 8400080484.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 30114 + ... + 312606.

It is an arithmetic number, because the mean of its divisors is an integer number (694087758).

Almost surely, 2^48408000480 is an apocalyptic number.

48408000480 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 48408000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99948637152).

48408000480 is an abundant number, since it is smaller than the sum of its proper divisors (151489273824).

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

48408000480 is a wasteful number, since it uses less digits than its factorization.

48408000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282538 (or 282527 counting only the distinct ones).

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

The spelling of 48408000480 in words is "forty-eight billion, four hundred eight million, four hundred eighty", and thus it is an aban number.