415234120 has 64 divisors (see below), whose sum is σ = 1076244480. Its totient is φ = 141232896.

The previous prime is 415234073. The next prime is 415234133. The reversal of 415234120 is 21432514.

It is a junction number, because it is equal to n+sod(n) for n = 415234091 and 415234100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29722 + ... + 41398.

It is an arithmetic number, because the mean of its divisors is an integer number (16816320).

Almost surely, 2^415234120 is an apocalyptic number.

415234120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538122240).

415234120 is an abundant number, since it is smaller than the sum of its proper divisors (661010360).

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

415234120 is a wasteful number, since it uses less digits than its factorization.

415234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11822 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 415234120 is about 20377.2942266632. The cubic root of 415234120 is about 746.0438320433.

Adding to 415234120 its reverse (21432514), we get a palindrome (436666634).

The spelling of 415234120 in words is "four hundred fifteen million, two hundred thirty-four thousand, one hundred twenty".