48004320 has 288 divisors, whose sum is σ = 190639008. Its totient is φ = 10063872.

The previous prime is 48004267. The next prime is 48004339. The reversal of 48004320 is 2340084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

48004320 is a modest number, since divided by 4320 gives 480 as remainder.

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, 305682 + ... + 305838.

It is an arithmetic number, because the mean of its divisors is an integer number (661941).

Almost surely, 2^48004320 is an apocalyptic number.

48004320 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 48004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95319504).

48004320 is an abundant number, since it is smaller than the sum of its proper divisors (142634688).

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

48004320 is a wasteful number, since it uses less digits than its factorization.

48004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 48004320 is about 6928.5149924064. The cubic root of 48004320 is about 363.4350209629.

The spelling of 48004320 in words is "forty-eight million, four thousand, three hundred twenty".