449802720 has 288 divisors, whose sum is σ = 1664312832. Its totient is φ = 114504192.

The previous prime is 449802709. The next prime is 449802733. The reversal of 449802720 is 27208944.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893989 + ... + 894491.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2^449802720 is an apocalyptic number.

449802720 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 449802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832156416).

449802720 is an abundant number, since it is smaller than the sum of its proper divisors (1214510112).

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

449802720 is a wasteful number, since it uses less digits than its factorization.

449802720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 449802720 is about 21208.5529916588. The cubic root of 449802720 is about 766.1974326733.

The spelling of 449802720 in words is "four hundred forty-nine million, eight hundred two thousand, seven hundred twenty".