448120764 has 144 divisors (see below), whose sum is σ = 1432220608. Its totient is φ = 114960384.

The previous prime is 448120747. The next prime is 448120769. The reversal of 448120764 is 467021844.

448120764 is a `hidden beast` number, since 448 + 1 + 207 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448120769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119364 + ... + 123060.

Almost surely, 2^448120764 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 448120764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716110304).

448120764 is an abundant number, since it is smaller than the sum of its proper divisors (984099844).

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

448120764 is a wasteful number, since it uses less digits than its factorization.

448120764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 448120764 is about 21168.8630776431. The cubic root of 448120764 is about 765.2412208670.

The spelling of 448120764 in words is "four hundred forty-eight million, one hundred twenty thousand, seven hundred sixty-four".