448462953 has 32 divisors (see below), whose sum is σ = 691468800. Its totient is φ = 287029008.

The previous prime is 448462939. The next prime is 448462967. The reversal of 448462953 is 359264844.

It is an interprime number because it is at equal distance from previous prime (448462939) and next prime (448462967).

It is not a de Polignac number, because 448462953 - 2⁵ = 448462921 is a prime.

It is a super-2 number, since 2×448462953² = 402238040426960418, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 448462899 and 448462908.

It is not an unprimeable number, because it can be changed into a prime (448462153) 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 31 ways as a sum of consecutive naturals, for example, 65226 + ... + 71772.

It is an arithmetic number, because the mean of its divisors is an integer number (21608400).

Almost surely, 2^448462953 is an apocalyptic number.

448462953 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

448462953 is a deficient number, since it is larger than the sum of its proper divisors (243005847).

448462953 is a wasteful number, since it uses less digits than its factorization.

448462953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658 (or 6652 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 448462953 is about 21176.9439013282. The cubic root of 448462953 is about 765.4359529759.

The spelling of 448462953 in words is "four hundred forty-eight million, four hundred sixty-two thousand, nine hundred fifty-three".