449433671520 has 96 divisors (see below), whose sum is σ = 1415809529568. Its totient is φ = 119841067008.

The previous prime is 449433671513. The next prime is 449433671551. The reversal of 449433671520 is 25176334944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×449433671520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 449433671520.

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 15 ways as a sum of consecutive naturals, for example, 12729732 + ... + 12764988.

It is an arithmetic number, because the mean of its divisors is an integer number (14748015933).

Almost surely, 2^449433671520 is an apocalyptic number.

449433671520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449433671520 is an abundant number, since it is smaller than the sum of its proper divisors (966375858048).

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

449433671520 is a wasteful number, since it uses less digits than its factorization.

449433671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61832 (or 61824 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 449433671520 in words is "four hundred forty-nine billion, four hundred thirty-three million, six hundred seventy-one thousand, five hundred twenty".