415101225 has 48 divisors (see below), whose sum is σ = 855659520. Its totient is φ = 172507200.

The previous prime is 415101173. The next prime is 415101229. The reversal of 415101225 is 522101514.

It is not a de Polignac number, because 415101225 - 2⁸ = 415100969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (415101229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30165 + ... + 41714.

It is an arithmetic number, because the mean of its divisors is an integer number (17826240).

Almost surely, 2^415101225 is an apocalyptic number.

It is an amenable number.

415101225 is an abundant number, since it is smaller than the sum of its proper divisors (440558295).

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

415101225 is a wasteful number, since it uses less digits than its factorization.

415101225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71910 (or 71905 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 415101225 is about 20374.0331058924. The cubic root of 415101225 is about 745.9642335154.

Adding to 415101225 its reverse (522101514), we get a palindrome (937202739).

The spelling of 415101225 in words is "four hundred fifteen million, one hundred one thousand, two hundred twenty-five".