448007480 has 32 divisors (see below), whose sum is σ = 1008633600. Its totient is φ = 179093376.

The previous prime is 448007471. The next prime is 448007489. The reversal of 448007480 is 84700844.

It is an interprime number because it is at equal distance from previous prime (448007471) and next prime (448007489).

It is a self number, because there is not a number n which added to its sum of digits gives 448007480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448007489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105641 + ... + 109799.

It is an arithmetic number, because the mean of its divisors is an integer number (31519800).

Almost surely, 2^448007480 is an apocalyptic number.

448007480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448007480 is an abundant number, since it is smaller than the sum of its proper divisors (560626120).

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

448007480 is a wasteful number, since it uses less digits than its factorization.

448007480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 448007480 is about 21166.1871861703. The cubic root of 448007480 is about 765.1767316344.

The spelling of 448007480 in words is "four hundred forty-eight million, seven thousand, four hundred eighty".