448461144 has 32 divisors (see below), whose sum is σ = 1245726000. Its totient is φ = 149486976.

The previous prime is 448461089. The next prime is 448461187. The reversal of 448461144 is 441164844.

It is a super-2 number, since 2×448461144² = 402234795355577472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 448461099 and 448461108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037889 + ... + 1038320.

Almost surely, 2^448461144 is an apocalyptic number.

It is an amenable number.

448461144 is an abundant number, since it is smaller than the sum of its proper divisors (797264856).

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

448461144 is a wasteful number, since it uses less digits than its factorization.

448461144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076224 (or 2076214 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 448461144 is about 21176.9011897397. The cubic root of 448461144 is about 765.4349237749.

The spelling of 448461144 in words is "four hundred forty-eight million, four hundred sixty-one thousand, one hundred forty-four".