201320448 has 192 divisors, whose sum is σ = 637378560. Its totient is φ = 55296000.

The previous prime is 201320437. The next prime is 201320467. The reversal of 201320448 is 844023102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333173 + ... + 1333323.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^201320448 is an apocalyptic number.

201320448 is a gapful number since it is divisible by the number (28) 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 201320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318689280).

201320448 is an abundant number, since it is smaller than the sum of its proper divisors (436058112).

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

201320448 is a wasteful number, since it uses less digits than its factorization.

201320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 201320448 is about 14188.7437076015. The cubic root of 201320448 is about 586.0877300733.

The spelling of 201320448 in words is "two hundred one million, three hundred twenty thousand, four hundred forty-eight".