449793479520 has 960 divisors, whose sum is σ = 2065244138496. Its totient is φ = 89395384320.

The previous prime is 449793479519. The next prime is 449793479549. The reversal of 449793479520 is 25974397944.

449793479520 is a `hidden beast` number, since 4 + 4 + 9 + 7 + 9 + 34 + 79 + 520 = 666.

449793479520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 22942362 + ... + 22961958.

Almost surely, 2^449793479520 is an apocalyptic number.

449793479520 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 449793479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032622069248).

449793479520 is an abundant number, since it is smaller than the sum of its proper divisors (1615450658976).

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

449793479520 is a wasteful number, since it uses less digits than its factorization.

449793479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19665 (or 19648 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 449793479520 in words is "four hundred forty-nine billion, seven hundred ninety-three million, four hundred seventy-nine thousand, five hundred twenty".