448129480 has 32 divisors (see below), whose sum is σ = 1022110200. Its totient is φ = 176795136.

The previous prime is 448129477. The next prime is 448129483. The reversal of 448129480 is 84921844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (448129477) and next prime (448129483).

It can be written as a sum of positive squares in 4 ways, for example, as 440412196 + 7717284 = 20986^2 + 2778^2 .

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

It is not an unprimeable number, because it can be changed into a prime (448129483) 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, 73815 + ... + 79654.

Almost surely, 2^448129480 is an apocalyptic number.

448129480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448129480 is an abundant number, since it is smaller than the sum of its proper divisors (573980720).

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

448129480 is a wasteful number, since it uses less digits than its factorization.

448129480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153553 (or 153549 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 448129480 is about 21169.0689450434. The cubic root of 448129480 is about 765.2461821778.

The spelling of 448129480 in words is "four hundred forty-eight million, one hundred twenty-nine thousand, four hundred eighty".