48004800 has 168 divisors, whose sum is σ = 160818576. Its totient is φ = 12533760.

The previous prime is 48004777. The next prime is 48004829. The reversal of 48004800 is 840084.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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, 350332 + ... + 350468.

Almost surely, 2^48004800 is an apocalyptic number.

48004800 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 48004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80409288).

48004800 is an abundant number, since it is smaller than the sum of its proper divisors (112813776).

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

48004800 is a wasteful number, since it uses less digits than its factorization.

48004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48004800 is about 6928.5496317772. The cubic root of 48004800 is about 363.4362322999.

Adding to 48004800 its reverse (840084), we get a palindrome (48844884).

The spelling of 48004800 in words is "forty-eight million, four thousand, eight hundred".