415105024 has 36 divisors (see below), whose sum is σ = 830469024. Its totient is φ = 207486976.

The previous prime is 415105021. The next prime is 415105049. The reversal of 415105024 is 420501514.

It is a junction number, because it is equal to n+sod(n) for n = 415104986 and 415105004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415105021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129489 + ... + 132655.

It is an arithmetic number, because the mean of its divisors is an integer number (23068584).

Almost surely, 2^415105024 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 415105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415234512).

415105024 is an abundant number, since it is smaller than the sum of its proper divisors (415364000).

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

415105024 is an frugal number, since it uses more digits than its factorization.

415105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 415105024 is about 20374.1263370973. The cubic root of 415105024 is about 745.9665091928.

Adding to 415105024 its reverse (420501514), we get a palindrome (835606538).

The spelling of 415105024 in words is "four hundred fifteen million, one hundred five thousand, twenty-four".