448116600 has 96 divisors (see below), whose sum is σ = 1470910320. Its totient is φ = 112465920.

The previous prime is 448116527. The next prime is 448116607. The reversal of 448116600 is 6611844.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448116607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11767 + ... + 32166.

Almost surely, 2^448116600 is an apocalyptic number.

448116600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448116600 is an abundant number, since it is smaller than the sum of its proper divisors (1022793720).

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

448116600 is a wasteful number, since it uses less digits than its factorization.

448116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43969 (or 43960 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 448116600 is about 21168.7647254156. The cubic root of 448116600 is about 765.2388506173.

The spelling of 448116600 in words is "four hundred forty-eight million, one hundred sixteen thousand, six hundred".