4148320 has 48 divisors (see below), whose sum is σ = 10695888. Its totient is φ = 1507840.

The previous prime is 4148293. The next prime is 4148321. The reversal of 4148320 is 238414.

4148320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4148291 and 4148300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582 + ... + 2938.

It is an arithmetic number, because the mean of its divisors is an integer number (222831).

Almost surely, 2^4148320 is an apocalyptic number.

4148320 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 4148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347944).

4148320 is an abundant number, since it is smaller than the sum of its proper divisors (6547568).

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

4148320 is a wasteful number, since it uses less digits than its factorization.

4148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4148320 is about 2036.7424972244. The cubic root of 4148320 is about 160.6783697755.

The spelling of 4148320 in words is "four million, one hundred forty-eight thousand, three hundred twenty".