449302140 has 288 divisors, whose sum is σ = 1655506944. Its totient is φ = 100154880.

The previous prime is 449302121. The next prime is 449302153. The reversal of 449302140 is 41203944.

449302140 is a `hidden beast` number, since 449 + 3 + 0 + 214 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1598800 + ... + 1599080.

It is an arithmetic number, because the mean of its divisors is an integer number (5748288).

Almost surely, 2^449302140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449302140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827753472).

449302140 is an abundant number, since it is smaller than the sum of its proper divisors (1206204804).

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

449302140 is a wasteful number, since it uses less digits than its factorization.

449302140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 449302140 is about 21196.7483355349. The cubic root of 449302140 is about 765.9130965544.

The spelling of 449302140 in words is "four hundred forty-nine million, three hundred two thousand, one hundred forty".