415345424 has 80 divisors (see below), whose sum is σ = 921243120. Its totient is φ = 179988480.

The previous prime is 415345393. The next prime is 415345451. The reversal of 415345424 is 424543514.

It can be written as a sum of positive squares in 8 ways, for example, as 44089600 + 371255824 = 6640^2 + 19268^2 .

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 15 ways as a sum of consecutive naturals, for example, 222254 + ... + 224114.

It is an arithmetic number, because the mean of its divisors is an integer number (11515539).

Almost surely, 2^415345424 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 415345424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460621560).

415345424 is an abundant number, since it is smaller than the sum of its proper divisors (505897696).

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

415345424 is a wasteful number, since it uses less digits than its factorization.

415345424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 415345424 is about 20380.0251226538. The cubic root of 415345424 is about 746.1104854004.

Adding to 415345424 its reverse (424543514), we get a palindrome (839888938).

The spelling of 415345424 in words is "four hundred fifteen million, three hundred forty-five thousand, four hundred twenty-four".