448485600 has 72 divisors (see below), whose sum is σ = 1459828440. Its totient is φ = 119595520.

The previous prime is 448485599. The next prime is 448485613. The reversal of 448485600 is 6584844.

It is a super-2 number, since 2×448485600² = 402278666814720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91035 + ... + 95834.

It is an arithmetic number, because the mean of its divisors is an integer number (20275395).

Almost surely, 2^448485600 is an apocalyptic number.

448485600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448485600 is an abundant number, since it is smaller than the sum of its proper divisors (1011342840).

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

448485600 is a wasteful number, since it uses less digits than its factorization.

448485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186892 (or 186879 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 448485600 is about 21177.4786034599. The cubic root of 448485600 is about 765.4488373818.

The spelling of 448485600 in words is "four hundred forty-eight million, four hundred eighty-five thousand, six hundred".