448562560 has 128 divisors (see below), whose sum is σ = 1156239360. Its totient is φ = 165918720.

The previous prime is 448562557. The next prime is 448562567. The reversal of 448562560 is 65265844.

448562560 = 410² + 411² + ... + 1122².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448562567) 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, 455829 + ... + 456811.

It is an arithmetic number, because the mean of its divisors is an integer number (9033120).

Almost surely, 2^448562560 is an apocalyptic number.

448562560 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 448562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578119680).

448562560 is an abundant number, since it is smaller than the sum of its proper divisors (707676800).

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

448562560 is a wasteful number, since it uses less digits than its factorization.

448562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 448562560 is about 21179.2955501358. The cubic root of 448562560 is about 765.4926184778.

The spelling of 448562560 in words is "four hundred forty-eight million, five hundred sixty-two thousand, five hundred sixty".