449772000 has 192 divisors, whose sum is σ = 1514769984. Its totient is φ = 116582400.

The previous prime is 449771989. The next prime is 449772101. The reversal of 449772000 is 277944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443494 + ... + 444506.

It is an arithmetic number, because the mean of its divisors is an integer number (7889427).

Almost surely, 2^449772000 is an apocalyptic number.

449772000 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 449772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757384992).

449772000 is an abundant number, since it is smaller than the sum of its proper divisors (1064997984).

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

449772000 is a wasteful number, since it uses less digits than its factorization.

449772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 449772000 is about 21207.8287431788. The cubic root of 449772000 is about 766.1799893810.

The spelling of 449772000 in words is "four hundred forty-nine million, seven hundred seventy-two thousand".