415831104 has 224 divisors, whose sum is σ = 1336487040. Its totient is φ = 126019584.

The previous prime is 415831069. The next prime is 415831109. The reversal of 415831104 is 401138514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (415831109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403562 + ... + 2403734.

It is an arithmetic number, because the mean of its divisors is an integer number (5966460).

Almost surely, 2^415831104 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 415831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668243520).

415831104 is an abundant number, since it is smaller than the sum of its proper divisors (920655936).

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

415831104 is a wasteful number, since it uses less digits than its factorization.

415831104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 415831104 is about 20391.9372301898. The cubic root of 415831104 is about 746.4011910528.

Adding to 415831104 its reverse (401138514), we get a palindrome (816969618).

The spelling of 415831104 in words is "four hundred fifteen million, eight hundred thirty-one thousand, one hundred four".