449564000120 has 64 divisors (see below), whose sum is σ = 1044270489600. Its totient is φ = 174004467840.

The previous prime is 449564000087. The next prime is 449564000177. The reversal of 449564000120 is 21000465944.

It is a super-4 number, since 4×449564000120⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14789177 + ... + 14819543.

It is an arithmetic number, because the mean of its divisors is an integer number (16316726400).

Almost surely, 2^449564000120 is an apocalyptic number.

449564000120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449564000120 is an abundant number, since it is smaller than the sum of its proper divisors (594706489480).

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

449564000120 is a wasteful number, since it uses less digits than its factorization.

449564000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42348 (or 42344 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 449564000120 in words is "four hundred forty-nine billion, five hundred sixty-four million, one hundred twenty", and thus it is an aban number.