201488 has 30 divisors (see below), whose sum is σ = 455886. Its totient is φ = 86016.

The previous prime is 201473. The next prime is 201491. The reversal of 201488 is 884102.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 784 = 448^2 + 28^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

201488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656 + ... + 912.

2²⁰¹⁴⁸⁸ is an apocalyptic number.

201488 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 201488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227943).

201488 is an abundant number, since it is smaller than the sum of its proper divisors (254398).

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

201488 is a wasteful number, since it uses less digits than its factorization.

201488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 201488 is about 448.8741471727. The cubic root of 201488 is about 58.6250278458.

The spelling of 201488 in words is "two hundred one thousand, four hundred eighty-eight".