448179264 has 224 divisors, whose sum is σ = 1444020480. Its totient is φ = 135475200.

The previous prime is 448179257. The next prime is 448179271. The reversal of 448179264 is 462971844.

It is an interprime number because it is at equal distance from previous prime (448179257) and next prime (448179271).

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 31 ways as a sum of consecutive naturals, for example, 1594804 + ... + 1595084.

It is an arithmetic number, because the mean of its divisors is an integer number (6446520).

Almost surely, 2^448179264 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 448179264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722010240).

448179264 is an abundant number, since it is smaller than the sum of its proper divisors (995841216).

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

448179264 is a wasteful number, since it uses less digits than its factorization.

448179264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 448179264 is about 21170.2447789344. The cubic root of 448179264 is about 765.2745189324.

The spelling of 448179264 in words is "four hundred forty-eight million, one hundred seventy-nine thousand, two hundred sixty-four".