448477120 has 112 divisors (see below), whose sum is σ = 1314468288. Its totient is φ = 141926400.

The previous prime is 448477103. The next prime is 448477123. The reversal of 448477120 is 21774844.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×448477120² = 402263454326988800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 448477120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448477123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21420 + ... + 36820.

It is an arithmetic number, because the mean of its divisors is an integer number (11736324).

Almost surely, 2^448477120 is an apocalyptic number.

448477120 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 448477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657234144).

448477120 is an abundant number, since it is smaller than the sum of its proper divisors (865991168).

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

448477120 is a wasteful number, since it uses less digits than its factorization.

448477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15438 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The square root of 448477120 is about 21177.2783898215. The cubic root of 448477120 is about 765.4440129631. Note that the first 3 decimals are identical.

The spelling of 448477120 in words is "four hundred forty-eight million, four hundred seventy-seven thousand, one hundred twenty".