448421480 has 64 divisors (see below), whose sum is σ = 1101537360. Its totient is φ = 163289088.

The previous prime is 448421473. The next prime is 448421483. The reversal of 448421480 is 84124844.

It can be written as a sum of positive squares in 8 ways, for example, as 102535876 + 345885604 = 10126^2 + 18598^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 448421480.

It is not an unprimeable number, because it can be changed into a prime (448421483) 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, 32054 + ... + 43866.

Almost surely, 2^448421480 is an apocalyptic number.

448421480 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 448421480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550768680).

448421480 is an abundant number, since it is smaller than the sum of its proper divisors (653115880).

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

448421480 is a wasteful number, since it uses less digits than its factorization.

448421480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11910 (or 11906 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

The square root of 448421480 is about 21175.9646769634. The cubic root of 448421480 is about 765.4123568953.

The spelling of 448421480 in words is "four hundred forty-eight million, four hundred twenty-one thousand, four hundred eighty".