4146000 has 80 divisors (see below), whose sum is σ = 13386048. Its totient is φ = 1104000.

The previous prime is 4145993. The next prime is 4146001. The reversal of 4146000 is 6414.

4146000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146001) 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, 5655 + ... + 6345.

Almost surely, 2^4146000 is an apocalyptic number.

4146000 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 4146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693024).

4146000 is an abundant number, since it is smaller than the sum of its proper divisors (9240048).

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

4146000 is a wasteful number, since it uses less digits than its factorization.

4146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4146000 is about 2036.1728806759. The cubic root of 4146000 is about 160.6484103918.

The spelling of 4146000 in words is "four million, one hundred forty-six thousand".