201588480 has 288 divisors, whose sum is σ = 755462400. Its totient is φ = 50761728.

The previous prime is 201588463. The next prime is 201588481. The reversal of 201588480 is 84885102.

201588480 is a `hidden beast` number, since 20 + 158 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201588481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656487 + ... + 656793.

Almost surely, 2^201588480 is an apocalyptic number.

201588480 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 201588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377731200).

201588480 is an abundant number, since it is smaller than the sum of its proper divisors (553873920).

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

201588480 is a wasteful number, since it uses less digits than its factorization.

201588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 201588480 is about 14198.1857996013. The cubic root of 201588480 is about 586.3477145979.

The spelling of 201588480 in words is "two hundred one million, five hundred eighty-eight thousand, four hundred eighty".