415144100 has 72 divisors (see below), whose sum is σ = 1044183168. Its totient is φ = 140313600.

The previous prime is 415144069. The next prime is 415144123. The reversal of 415144100 is 1441514.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45524 + ... + 53876.

It is an arithmetic number, because the mean of its divisors is an integer number (14502544).

Almost surely, 2^415144100 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 415144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522091584).

415144100 is an abundant number, since it is smaller than the sum of its proper divisors (629039068).

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

415144100 is a wasteful number, since it uses less digits than its factorization.

415144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 415144100 is about 20375.0852758952. The cubic root of 415144100 is about 745.9899156972.

Adding to 415144100 its reverse (1441514), we get a palindrome (416585614).

The spelling of 415144100 in words is "four hundred fifteen million, one hundred forty-four thousand, one hundred".