415041020 has 48 divisors (see below), whose sum is σ = 918908928. Its totient is φ = 157231680.

The previous prime is 415041019. The next prime is 415041037. The reversal of 415041020 is 20140514.

It is a self number, because there is not a number n which added to its sum of digits gives 415041020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22019 + ... + 36261.

It is an arithmetic number, because the mean of its divisors is an integer number (19143936).

Almost surely, 2^415041020 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 415041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459454464).

415041020 is an abundant number, since it is smaller than the sum of its proper divisors (503867908).

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

415041020 is a wasteful number, since it uses less digits than its factorization.

415041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14330 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 415041020 is about 20372.5555588885. Note that the first 5 decimals coincide. The cubic root of 415041020 is about 745.9281676553.

Adding to 415041020 its reverse (20140514), we get a palindrome (435181534).

It can be divided in two parts, 41504 and 1020, that added together give a palindrome (42524).

The spelling of 415041020 in words is "four hundred fifteen million, forty-one thousand, twenty".