4158540 has 120 divisors (see below), whose sum is σ = 13904352. Its totient is φ = 1036800.

The previous prime is 4158529. The next prime is 4158547. The reversal of 4158540 is 458514.

4158540 is a `hidden beast` number, since 41 + 585 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4158547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27465 + ... + 27615.

Almost surely, 2^4158540 is an apocalyptic number.

4158540 is the 1020-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952176).

4158540 is an abundant number, since it is smaller than the sum of its proper divisors (9745812).

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

4158540 is a wasteful number, since it uses less digits than its factorization.

4158540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4158540 is about 2039.2498620816. The cubic root of 4158540 is about 160.8102132074.

The spelling of 4158540 in words is "four million, one hundred fifty-eight thousand, five hundred forty".