415055424 has 224 divisors, whose sum is σ = 1357701120. Its totient is φ = 109283328.

The previous prime is 415055413. The next prime is 415055467. The reversal of 415055424 is 424550514.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 415055391 and 415055400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896217 + ... + 896679.

Almost surely, 2^415055424 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 415055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678850560).

415055424 is an abundant number, since it is smaller than the sum of its proper divisors (942645696).

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

415055424 is a wasteful number, since it uses less digits than its factorization.

415055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 415055424 is about 20372.9090706261. The cubic root of 415055424 is about 745.9367967020.

The spelling of 415055424 in words is "four hundred fifteen million, fifty-five thousand, four hundred twenty-four".