48284080 has 80 divisors (see below), whose sum is σ = 128054304. Its totient is φ = 16773120.

The previous prime is 48284077. The next prime is 48284083. The reversal of 48284080 is 8048284.

It is an interprime number because it is at equal distance from previous prime (48284077) and next prime (48284083).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (48284083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16315 + ... + 19045.

Almost surely, 2^48284080 is an apocalyptic number.

48284080 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 48284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64027152).

48284080 is an abundant number, since it is smaller than the sum of its proper divisors (79770224).

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

48284080 is a wasteful number, since it uses less digits than its factorization.

48284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 48284080 is about 6948.6746937815. The cubic root of 48284080 is about 364.1396638307.

The spelling of 48284080 in words is "forty-eight million, two hundred eighty-four thousand, eighty".