415001220 has 48 divisors (see below), whose sum is σ = 1176725760. Its totient is φ = 109264896.

The previous prime is 415001203. The next prime is 415001231. The reversal of 415001220 is 22100514.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 415001220.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39037 + ... + 48516.

It is an arithmetic number, because the mean of its divisors is an integer number (24515120).

Almost surely, 2^415001220 is an apocalyptic number.

It is an amenable number.

415001220 is an abundant number, since it is smaller than the sum of its proper divisors (761724540).

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

415001220 is a wasteful number, since it uses less digits than its factorization.

415001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87644 (or 87642 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 415001220 is about 20371.5787311637. The cubic root of 415001220 is about 745.9043235141.

Adding to 415001220 its reverse (22100514), we get a palindrome (437101734).

The spelling of 415001220 in words is "four hundred fifteen million, one thousand, two hundred twenty".