448721520 has 80 divisors (see below), whose sum is σ = 1498049952. Its totient is φ = 110453760.

The previous prime is 448721509. The next prime is 448721521. The reversal of 448721520 is 25127844.

448721520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×448721520² = 402702005022220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448721521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68791 + ... + 75030.

Almost surely, 2^448721520 is an apocalyptic number.

448721520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448721520 is an abundant number, since it is smaller than the sum of its proper divisors (1049328432).

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

448721520 is a wasteful number, since it uses less digits than its factorization.

448721520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143850 (or 143844 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 448721520 is about 21183.0479393311. The cubic root of 448721520 is about 765.5830319797.

The spelling of 448721520 in words is "four hundred forty-eight million, seven hundred twenty-one thousand, five hundred twenty".