449568000 has 432 divisors, whose sum is σ = 1857063936. Its totient is φ = 102297600.

The previous prime is 449567977. The next prime is 449568011. The reversal of 449568000 is 865944.

449568000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×449568000² = 404222773248000000, which contains 22 as substring.

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, 2015889 + ... + 2016111.

Almost surely, 2^449568000 is an apocalyptic number.

449568000 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 449568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928531968).

449568000 is an abundant number, since it is smaller than the sum of its proper divisors (1407495936).

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

449568000 is a wasteful number, since it uses less digits than its factorization.

449568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 449568000 is about 21203.0186530126. The cubic root of 449568000 is about 766.0641348632.

The spelling of 449568000 in words is "four hundred forty-nine million, five hundred sixty-eight thousand".