449991360 has 672 divisors, whose sum is σ = 2036990592. Its totient is φ = 88473600.

The previous prime is 449991341. The next prime is 449991361. The reversal of 449991360 is 63199944.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449991361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4455310 + ... + 4455410.

It is an arithmetic number, because the mean of its divisors is an integer number (3031236).

Almost surely, 2^449991360 is an apocalyptic number.

449991360 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 449991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018495296).

449991360 is an abundant number, since it is smaller than the sum of its proper divisors (1586999232).

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

449991360 is a wasteful number, since it uses less digits than its factorization.

449991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 449991360 is about 21212.9997878659. Note that the first 3 decimals coincide. The cubic root of 449991360 is about 766.3045279818.

It can be divided in two parts, 4499 and 91360, that added together give a palindrome (95859).

The spelling of 449991360 in words is "four hundred forty-nine million, nine hundred ninety-one thousand, three hundred sixty".