415485824 has 48 divisors (see below), whose sum is σ = 896341320. Its totient is φ = 191752704.

The previous prime is 415485817. The next prime is 415485853. The reversal of 415485824 is 428584514.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12029 + ... + 31235.

Almost surely, 2^415485824 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 415485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448170660).

415485824 is an abundant number, since it is smaller than the sum of its proper divisors (480855496).

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

415485824 is a wasteful number, since it uses less digits than its factorization.

415485824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19247 (or 19222 counting only the distinct ones).

The product of its digits is 204800, while the sum is 41.

The square root of 415485824 is about 20383.4693808488. The cubic root of 415485824 is about 746.1945456428.

The spelling of 415485824 in words is "four hundred fifteen million, four hundred eighty-five thousand, eight hundred twenty-four".