448960512 has 384 divisors, whose sum is σ = 1629089280. Its totient is φ = 106168320.

The previous prime is 448960511. The next prime is 448960541. The reversal of 448960512 is 215069844.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448960511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6150108 + ... + 6150180.

It is an arithmetic number, because the mean of its divisors is an integer number (4242420).

Almost surely, 2^448960512 is an apocalyptic number.

448960512 is a gapful number since it is divisible by the number (42) 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 448960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814544640).

448960512 is an abundant number, since it is smaller than the sum of its proper divisors (1180128768).

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

448960512 is a wasteful number, since it uses less digits than its factorization.

448960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 448960512 is about 21188.6883029601. The cubic root of 448960512 is about 765.7189260239.

The spelling of 448960512 in words is "four hundred forty-eight million, nine hundred sixty thousand, five hundred twelve".