4148000 has 96 divisors (see below), whose sum is σ = 10968048. Its totient is φ = 1536000.

The previous prime is 4147991. The next prime is 4148003. The reversal of 4148000 is 8414.

It is a happy number.

4148000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2704 + 4145296 = 52^2 + 2036^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4148000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148003) 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 15 ways as a sum of consecutive naturals, for example, 67970 + ... + 68030.

Almost surely, 2^4148000 is an apocalyptic number.

4148000 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 4148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024).

4148000 is an abundant number, since it is smaller than the sum of its proper divisors (6820048).

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

4148000 is a wasteful number, since it uses less digits than its factorization.

4148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4148000 is about 2036.6639388962. The cubic root of 4148000 is about 160.6742381109.

The spelling of 4148000 in words is "four million, one hundred forty-eight thousand".