448787520 has 224 divisors, whose sum is σ = 1599590400. Its totient is φ = 118444032.

The previous prime is 448787519. The next prime is 448787531. The reversal of 448787520 is 25787844.

448787520 is a `hidden beast` number, since 4 + 48 + 7 + 87 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097076 + ... + 1097484.

Almost surely, 2^448787520 is an apocalyptic number.

448787520 is a gapful number since it is divisible by the number (40) 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 448787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799795200).

448787520 is an abundant number, since it is smaller than the sum of its proper divisors (1150802880).

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

448787520 is a wasteful number, since it uses less digits than its factorization.

448787520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 448787520 is about 21184.6057315212. The cubic root of 448787520 is about 765.6205652832.

The spelling of 448787520 in words is "four hundred forty-eight million, seven hundred eighty-seven thousand, five hundred twenty".