415415424 has 64 divisors (see below), whose sum is σ = 1114476480. Its totient is φ = 137088000.

The previous prime is 415415381. The next prime is 415415447. The reversal of 415415424 is 424514514.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 415415391 and 415415400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33429 + ... + 44139.

It is an arithmetic number, because the mean of its divisors is an integer number (17413695).

Almost surely, 2^415415424 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 415415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557238240).

415415424 is an abundant number, since it is smaller than the sum of its proper divisors (699061056).

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

415415424 is a wasteful number, since it uses less digits than its factorization.

415415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829 (or 10817 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 415415424 is about 20381.7424181545. The cubic root of 415415424 is about 746.1523981452.

Adding to 415415424 its reverse (424514514), we get a palindrome (839929938).

The spelling of 415415424 in words is "four hundred fifteen million, four hundred fifteen thousand, four hundred twenty-four".