200448000 has 384 divisors, whose sum is σ = 766584000. Its totient is φ = 51609600.

The previous prime is 200447993. The next prime is 200448089. The reversal of 200448000 is 844002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911986 + ... + 6912014.

Almost surely, 2^200448000 is an apocalyptic number.

200448000 is a gapful number since it is divisible by the number (20) 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 200448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383292000).

200448000 is an abundant number, since it is smaller than the sum of its proper divisors (566136000).

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

200448000 is an equidigital number, since it uses as much as digits as its factorization.

200448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 200448000 is about 14157.9659556025. The cubic root of 200448000 is about 585.2398753288.

The spelling of 200448000 in words is "two hundred million, four hundred forty-eight thousand".