448056600 has 96 divisors (see below), whose sum is σ = 1392768000. Its totient is φ = 119155840.

The previous prime is 448056589. The next prime is 448056611. The reversal of 448056600 is 6650844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (448056589) and next prime (448056611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286621 + ... + 288179.

It is an arithmetic number, because the mean of its divisors is an integer number (14508000).

Almost surely, 2^448056600 is an apocalyptic number.

448056600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448056600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384000).

448056600 is an abundant number, since it is smaller than the sum of its proper divisors (944711400).

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

448056600 is a wasteful number, since it uses less digits than its factorization.

448056600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 448056600 is about 21167.3474956122. The cubic root of 448056600 is about 765.2046955332.

The spelling of 448056600 in words is "four hundred forty-eight million, fifty-six thousand, six hundred".