448805213280 has 72 divisors (see below), whose sum is σ = 1531547795232. Its totient is φ = 119681389824.

The previous prime is 448805213267. The next prime is 448805213287. The reversal of 448805213280 is 82312508844.

448805213280 is a `hidden beast` number, since 4 + 48 + 8 + 0 + 521 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×448805213280² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (448805213287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155833704 + ... + 155836583.

It is an arithmetic number, because the mean of its divisors is an integer number (21271497156).

Almost surely, 2^448805213280 is an apocalyptic number.

448805213280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448805213280 is an abundant number, since it is smaller than the sum of its proper divisors (1082742581952).

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

448805213280 is a wasteful number, since it uses less digits than its factorization.

448805213280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311670308 (or 311670297 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 448805213280 in words is "four hundred forty-eight billion, eight hundred five million, two hundred thirteen thousand, two hundred eighty".