449141760 has 396 divisors, whose sum is σ = 1703316888. Its totient is φ = 113467392.

The previous prime is 449141731. The next prime is 449141761. The reversal of 449141760 is 67141944.

449141760 is a `hidden beast` number, since 449 + 141 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449141761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23639031 + ... + 23639049.

Almost surely, 2^449141760 is an apocalyptic number.

449141760 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 449141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851658444).

449141760 is an abundant number, since it is smaller than the sum of its proper divisors (1254175128).

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

449141760 is an equidigital number, since it uses as much as digits as its factorization.

449141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 449141760 is about 21192.9648704470. The cubic root of 449141760 is about 765.8219539059.

The spelling of 449141760 in words is "four hundred forty-nine million, one hundred forty-one thousand, seven hundred sixty".