449662776960 has 128 divisors (see below), whose sum is σ = 1495617644160. Its totient is φ = 114696581120.

The previous prime is 449662776881. The next prime is 449662776961. The reversal of 449662776960 is 69677266944.

It is a happy number.

449662776960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×449662776960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449662776891 and 449662776900.

It is not an unprimeable number, because it can be changed into a prime (449662776961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5047131 + ... + 5135450.

It is an arithmetic number, because the mean of its divisors is an integer number (11684512845).

Almost surely, 2^449662776960 is an apocalyptic number.

449662776960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449662776960 is an abundant number, since it is smaller than the sum of its proper divisors (1045954867200).

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

449662776960 is a wasteful number, since it uses less digits than its factorization.

449662776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182626 (or 10182614 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 66.

The spelling of 449662776960 in words is "four hundred forty-nine billion, six hundred sixty-two million, seven hundred seventy-six thousand, nine hundred sixty".