449486226000 has 640 divisors, whose sum is σ = 1844643840000. Its totient is φ = 102490790400.

The previous prime is 449486225989. The next prime is 449486226011. The reversal of 449486226000 is 622684944.

449486226000 is a `hidden beast` number, since 4 + 494 + 86 + 22 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (449486225989) and next prime (449486226011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188620809 + ... + 188623191.

It is an arithmetic number, because the mean of its divisors is an integer number (2882256000).

Almost surely, 2^449486226000 is an apocalyptic number.

449486226000 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 449486226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922321920000).

449486226000 is an abundant number, since it is smaller than the sum of its proper divisors (1395157614000).

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

449486226000 is a wasteful number, since it uses less digits than its factorization.

449486226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 449486226000 in words is "four hundred forty-nine billion, four hundred eighty-six million, two hundred twenty-six thousand".