4115900 has 36 divisors (see below), whose sum is σ = 9061920. Its totient is φ = 1622400.

The previous prime is 4115897. The next prime is 4115933. The reversal of 4115900 is 95114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7640 + ... + 8160.

It is an arithmetic number, because the mean of its divisors is an integer number (251720).

Almost surely, 2^4115900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530960).

4115900 is an abundant number, since it is smaller than the sum of its proper divisors (4946020).

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

4115900 is a wasteful number, since it uses less digits than its factorization.

4115900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 4115900 is about 2028.7680991183. The cubic root of 4115900 is about 160.2586960850.

The spelling of 4115900 in words is "four million, one hundred fifteen thousand, nine hundred".