415516448 has 48 divisors (see below), whose sum is σ = 869551200. Its totient is φ = 194774016.

The previous prime is 415516447. The next prime is 415516457. The reversal of 415516448 is 844615514.

It is not an unprimeable number, because it can be changed into a prime (415516447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152603 + ... + 155301.

It is an arithmetic number, because the mean of its divisors is an integer number (18115650).

Almost surely, 2^415516448 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 415516448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434775600).

415516448 is an abundant number, since it is smaller than the sum of its proper divisors (454034752).

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

415516448 is a wasteful number, since it uses less digits than its factorization.

415516448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3001 counting only the distinct ones).

The product of its digits is 76800, while the sum is 38.

The square root of 415516448 is about 20384.2205639558. The cubic root of 415516448 is about 746.2128783183.

The spelling of 415516448 in words is "four hundred fifteen million, five hundred sixteen thousand, four hundred forty-eight".