415113104 has 60 divisors (see below), whose sum is σ = 938213388. Its totient is φ = 177408000.

The previous prime is 415113077. The next prime is 415113133. The reversal of 415113104 is 401311514.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 211993600 + 203119504 = 14560^2 + 14252^2 .

It is a super-2 number, since 2×415113104² = 344637778225029632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470744 + ... + 471624.

Almost surely, 2^415113104 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 415113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469106694).

415113104 is an abundant number, since it is smaller than the sum of its proper divisors (523100284).

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

415113104 is a wasteful number, since it uses less digits than its factorization.

415113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 415113104 is about 20374.3246268435. The cubic root of 415113104 is about 745.9713492292.

Adding to 415113104 its reverse (401311514), we get a palindrome (816424618).

The spelling of 415113104 in words is "four hundred fifteen million, one hundred thirteen thousand, one hundred four".