201024000 has 240 divisors, whose sum is σ = 726125400. Its totient is φ = 53452800.

The previous prime is 201023989. The next prime is 201024001. The reversal of 201024000 is 420102.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 118722816 = 9072^2 + 10896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201024001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575826 + ... + 576174.

Almost surely, 2^201024000 is an apocalyptic number.

201024000 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 201024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363062700).

201024000 is an abundant number, since it is smaller than the sum of its proper divisors (525101400).

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

201024000 is an equidigital number, since it uses as much as digits as its factorization.

201024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 201024000 is about 14178.2932682323. The cubic root of 201024000 is about 585.7999138287.

Adding to 201024000 its reverse (420102), we get a palindrome (201444102).

The spelling of 201024000 in words is "two hundred one million, twenty-four thousand".