448728960 has 64 divisors (see below), whose sum is σ = 1430329680. Its totient is φ = 119660544.

The previous prime is 448728913. The next prime is 448728967. The reversal of 448728960 is 69827844.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448728967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114937 + ... + 118776.

Almost surely, 2^448728960 is an apocalyptic number.

448728960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448728960 is an abundant number, since it is smaller than the sum of its proper divisors (981600720).

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

448728960 is a wasteful number, since it uses less digits than its factorization.

448728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233735 (or 233723 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 448728960 is about 21183.2235507252. The cubic root of 448728960 is about 765.5872631907.

The spelling of 448728960 in words is "four hundred forty-eight million, seven hundred twenty-eight thousand, nine hundred sixty".