448209720 has 256 divisors, whose sum is σ = 1727308800. Its totient is φ = 101260800.

The previous prime is 448209701. The next prime is 448209721. The reversal of 448209720 is 27902844.

448209720 is a `hidden beast` number, since 448 + 209 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448209721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763267 + ... + 763853.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^448209720 is an apocalyptic number.

448209720 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 448209720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

448209720 is an abundant number, since it is smaller than the sum of its proper divisors (1279099080).

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

448209720 is a wasteful number, since it uses less digits than its factorization.

448209720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 448209720 is about 21170.9640781897. The cubic root of 448209720 is about 765.2918532706.

The spelling of 448209720 in words is "four hundred forty-eight million, two hundred nine thousand, seven hundred twenty".