448936992000 has 1440 divisors, whose sum is σ = 1935300407040. Its totient is φ = 101224857600.

The previous prime is 448936991983. The next prime is 448936992011. The reversal of 448936992000 is 299639844.

448936992000 is a `hidden beast` number, since 448 + 93 + 6 + 99 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1977695887 + ... + 1977696113.

It is an arithmetic number, because the mean of its divisors is an integer number (1343958616).

Almost surely, 2^448936992000 is an apocalyptic number.

448936992000 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 448936992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967650203520).

448936992000 is an abundant number, since it is smaller than the sum of its proper divisors (1486363415040).

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

448936992000 is a wasteful number, since it uses less digits than its factorization.

448936992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 448936992000 in words is "four hundred forty-eight billion, nine hundred thirty-six million, nine hundred ninety-two thousand".