449496000 has 224 divisors, whose sum is σ = 1649943360. Its totient is φ = 119808000.

The previous prime is 449495999. The next prime is 449496023. The reversal of 449496000 is 694944.

449496000 is a `hidden beast` number, since 4 + 4 + 9 + 49 + 600 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214960 + ... + 217040.

Almost surely, 2^449496000 is an apocalyptic number.

449496000 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 449496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824971680).

449496000 is an abundant number, since it is smaller than the sum of its proper divisors (1200447360).

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

449496000 is a wasteful number, since it uses less digits than its factorization.

449496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 449496000 is about 21201.3207135782. The cubic root of 449496000 is about 766.0232366658.

The spelling of 449496000 in words is "four hundred forty-nine million, four hundred ninety-six thousand".