448279920 has 400 divisors, whose sum is σ = 1793278080. Its totient is φ = 102643200.

The previous prime is 448279873. The next prime is 448279921. The reversal of 448279920 is 29972844.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448279921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354155 + ... + 1354485.

Almost surely, 2^448279920 is an apocalyptic number.

448279920 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 448279920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896639040).

448279920 is an abundant number, since it is smaller than the sum of its proper divisors (1344998160).

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

448279920 is a wasteful number, since it uses less digits than its factorization.

448279920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 448279920 is about 21172.6219443885. The cubic root of 448279920 is about 765.3318053148.

The spelling of 448279920 in words is "four hundred forty-eight million, two hundred seventy-nine thousand, nine hundred twenty".