448775964 has 240 divisors, whose sum is σ = 1493538816. Its totient is φ = 114307200.

The previous prime is 448775939. The next prime is 448775989. The reversal of 448775964 is 469577844.

448775964 is a `hidden beast` number, since 4 + 48 + 7 + 7 + 596 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (448775939) and next prime (448775989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 448775964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 913759 + ... + 914249.

Almost surely, 2^448775964 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 448775964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746769408).

448775964 is an abundant number, since it is smaller than the sum of its proper divisors (1044762852).

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

448775964 is a wasteful number, since it uses less digits than its factorization.

448775964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 547 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 448775964 is about 21184.3329845431. The cubic root of 448775964 is about 765.6139938087.

The spelling of 448775964 in words is "four hundred forty-eight million, seven hundred seventy-five thousand, nine hundred sixty-four".