415676448 has 240 divisors, whose sum is σ = 1361162880. Its totient is φ = 123379200.

The previous prime is 415676441. The next prime is 415676473. The reversal of 415676448 is 844676514.

415676448 is a `hidden beast` number, since 41 + 567 + 6 + 4 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (415676441) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1739113 + ... + 1739351.

It is an arithmetic number, because the mean of its divisors is an integer number (5671512).

Almost surely, 2^415676448 is an apocalyptic number.

415676448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415676448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

415676448 is an abundant number, since it is smaller than the sum of its proper divisors (945486432).

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

415676448 is a wasteful number, since it uses less digits than its factorization.

415676448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 415676448 is about 20388.1447905394. The cubic root of 415676448 is about 746.3086456777.

The spelling of 415676448 in words is "four hundred fifteen million, six hundred seventy-six thousand, four hundred forty-eight".