448628331 has 16 divisors (see below), whose sum is σ = 613578240. Its totient is φ = 291416160.

The previous prime is 448628321. The next prime is 448628353. The reversal of 448628331 is 133826844.

It is a happy number.

It is not a de Polignac number, because 448628331 - 2⁹ = 448627819 is a prime.

It is a super-2 number, since 2×448628331² = 402534758751691122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 448628331.

It is not an unprimeable number, because it can be changed into a prime (448628321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51565 + ... + 59633.

It is an arithmetic number, because the mean of its divisors is an integer number (38348640).

Almost surely, 2^448628331 is an apocalyptic number.

448628331 is a deficient number, since it is larger than the sum of its proper divisors (164949909).

448628331 is a wasteful number, since it uses less digits than its factorization.

448628331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546.

The product of its digits is 110592, while the sum is 39.

The square root of 448628331 is about 21180.8482124772. The cubic root of 448628331 is about 765.5300303938.

The spelling of 448628331 in words is "four hundred forty-eight million, six hundred twenty-eight thousand, three hundred thirty-one".