415338496 has 52 divisors (see below), whose sum is σ = 857630464. Its totient is φ = 200908800.

The previous prime is 415338491. The next prime is 415338503. The reversal of 415338496 is 694833514.

It is a super-3 number, since 3×415338496³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (415338491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125341 + ... + 128611.

Almost surely, 2^415338496 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 415338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428815232).

415338496 is an abundant number, since it is smaller than the sum of its proper divisors (442291968).

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

415338496 is an equidigital number, since it uses as much as digits as its factorization.

415338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3304 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 415338496 is about 20379.8551515952. The cubic root of 415338496 is about 746.1063369801.

The spelling of 415338496 in words is "four hundred fifteen million, three hundred thirty-eight thousand, four hundred ninety-six".