418385448 has 96 divisors (see below), whose sum is σ = 1227025800. Its totient is φ = 128024064.

The previous prime is 418385447. The next prime is 418385459. The reversal of 418385448 is 844583814.

It can be written as a sum of positive squares in 4 ways, for example, as 302133924 + 116251524 = 17382^2 + 10782^2 .

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

It is not an unprimeable number, because it can be changed into a prime (418385441) 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 23 ways as a sum of consecutive naturals, for example, 183258 + ... + 185526.

Almost surely, 2^418385448 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 418385448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613512900).

418385448 is an abundant number, since it is smaller than the sum of its proper divisors (808640352).

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

418385448 is a wasteful number, since it uses less digits than its factorization.

418385448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2484 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 418385448 is about 20454.4725671429. The cubic root of 418385448 is about 747.9263894695.

The spelling of 418385448 in words is "four hundred eighteen million, three hundred eighty-five thousand, four hundred forty-eight".