48148320 has 144 divisors (see below), whose sum is σ = 166909680. Its totient is φ = 11658240.

The previous prime is 48148319. The next prime is 48148333. The reversal of 48148320 is 2384184.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 57666 + ... + 58494.

It is an arithmetic number, because the mean of its divisors is an integer number (1159095).

Almost surely, 2^48148320 is an apocalyptic number.

48148320 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 48148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83454840).

48148320 is an abundant number, since it is smaller than the sum of its proper divisors (118761360).

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

48148320 is a wasteful number, since it uses less digits than its factorization.

48148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48148320 is about 6938.8990481200. The cubic root of 48148320 is about 363.7980605124.

The spelling of 48148320 in words is "forty-eight million, one hundred forty-eight thousand, three hundred twenty".