48004224 has 64 divisors (see below), whose sum is σ = 128520000. Its totient is φ = 15875072.

The previous prime is 48004219. The next prime is 48004267. The reversal of 48004224 is 42240084.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 48004194 and 48004203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56797 + ... + 57635.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^48004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260000).

48004224 is an abundant number, since it is smaller than the sum of its proper divisors (80515776).

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

48004224 is a wasteful number, since it uses less digits than its factorization.

48004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 48004224 is about 6928.5080645114. The cubic root of 48004224 is about 363.4347786945.

The spelling of 48004224 in words is "forty-eight million, four thousand, two hundred twenty-four".