448958160 has 320 divisors, whose sum is σ = 1845596160. Its totient is φ = 98081280.

The previous prime is 448958119. The next prime is 448958173. The reversal of 448958160 is 61859844.

448958160 is a `hidden beast` number, since 4 + 4 + 8 + 9 + 581 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347115 + ... + 348405.

It is an arithmetic number, because the mean of its divisors is an integer number (5767488).

Almost surely, 2^448958160 is an apocalyptic number.

448958160 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 448958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922798080).

448958160 is an abundant number, since it is smaller than the sum of its proper divisors (1396638000).

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

448958160 is a wasteful number, since it uses less digits than its factorization.

448958160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 448958160 is about 21188.6328015755. The cubic root of 448958160 is about 765.7175888803.

The spelling of 448958160 in words is "four hundred forty-eight million, nine hundred fifty-eight thousand, one hundred sixty".