449684343360 has 840 divisors, whose sum is σ = 1889727935040. Its totient is φ = 99430778880.

The previous prime is 449684343313. The next prime is 449684343377. The reversal of 449684343360 is 63343486944.

449684343360 is a `hidden beast` number, since 4 + 496 + 84 + 3 + 43 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×449684343360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 449684343297 and 449684343306.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 174362551 + ... + 174365129.

Almost surely, 2^449684343360 is an apocalyptic number.

449684343360 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 449684343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944863967520).

449684343360 is an abundant number, since it is smaller than the sum of its proper divisors (1440043591680).

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

449684343360 is a wasteful number, since it uses less digits than its factorization.

449684343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 449684343360 in words is "four hundred forty-nine billion, six hundred eighty-four million, three hundred forty-three thousand, three hundred sixty".