415040220 has 192 divisors, whose sum is σ = 1501516800. Its totient is φ = 93208320.

The previous prime is 415040207. The next prime is 415040231. The reversal of 415040220 is 22040514.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 415040193 and 415040202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222090 + ... + 223950.

It is an arithmetic number, because the mean of its divisors is an integer number (7820400).

Almost surely, 2^415040220 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 415040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750758400).

415040220 is an abundant number, since it is smaller than the sum of its proper divisors (1086476580).

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

415040220 is a wasteful number, since it uses less digits than its factorization.

415040220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 415040220 is about 20372.5359246217. The cubic root of 415040220 is about 745.9276883911.

Adding to 415040220 its reverse (22040514), we get a palindrome (437080734).

The spelling of 415040220 in words is "four hundred fifteen million, forty thousand, two hundred twenty".