448835022720 has 1280 divisors, whose sum is σ = 2003029585920. Its totient is φ = 93401579520.

The previous prime is 448835022709. The next prime is 448835022739. The reversal of 448835022720 is 27220538844.

448835022720 is a `hidden beast` number, since 4 + 48 + 83 + 502 + 2 + 7 + 20 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 191236587 + ... + 191238933.

It is an arithmetic number, because the mean of its divisors is an integer number (1564866864).

Almost surely, 2^448835022720 is an apocalyptic number.

448835022720 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 448835022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001514792960).

448835022720 is an abundant number, since it is smaller than the sum of its proper divisors (1554194563200).

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

448835022720 is a wasteful number, since it uses less digits than its factorization.

448835022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 448835022720 in words is "four hundred forty-eight billion, eight hundred thirty-five million, twenty-two thousand, seven hundred twenty".