448769000 has 32 divisors (see below), whose sum is σ = 1050121800. Its totient is φ = 179507200.

The previous prime is 448768981. The next prime is 448769011. The reversal of 448769000 is 967844.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19201924 + 429567076 = 4382^2 + 20726^2 .

It is a super-2 number, since 2×448769000² = 402787230722000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223385 + ... + 225384.

Almost surely, 2^448769000 is an apocalyptic number.

448769000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448769000 is an abundant number, since it is smaller than the sum of its proper divisors (601352800).

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

448769000 is a wasteful number, since it uses less digits than its factorization.

448769000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448790 (or 448776 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 448769000 is about 21184.1686171537. The cubic root of 448769000 is about 765.6100335822.

The spelling of 448769000 in words is "four hundred forty-eight million, seven hundred sixty-nine thousand".