4156000 has 48 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 1660800.

The previous prime is 4155997. The next prime is 4156001. The reversal of 4156000 is 6514.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4156001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3481 + ... + 4519.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 2^4156000 is an apocalyptic number.

4156000 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 4156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

4156000 is an abundant number, since it is smaller than the sum of its proper divisors (6065120).

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

4156000 is a wasteful number, since it uses less digits than its factorization.

4156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4156000 is about 2038.6269889315. The cubic root of 4156000 is about 160.7774660469. Note that the first 3 decimals are identical.

The spelling of 4156000 in words is "four million, one hundred fifty-six thousand".