201468288 has 128 divisors (see below), whose sum is σ = 616112640. Its totient is φ = 57139200.

The previous prime is 201468269. The next prime is 201468313. The reversal of 201468288 is 882864102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×201468288³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647653 + ... + 647963.

It is an arithmetic number, because the mean of its divisors is an integer number (4813380).

Almost surely, 2^201468288 is an apocalyptic number.

201468288 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 201468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308056320).

201468288 is an abundant number, since it is smaller than the sum of its proper divisors (414644352).

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

201468288 is a wasteful number, since it uses less digits than its factorization.

201468288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 201468288 is about 14193.9525150678. The cubic root of 201468288 is about 586.2311597972.

The spelling of 201468288 in words is "two hundred one million, four hundred sixty-eight thousand, two hundred eighty-eight".