201642480 has 320 divisors, whose sum is σ = 769950720. Its totient is φ = 48190464.

The previous prime is 201642451. The next prime is 201642487. The reversal of 201642480 is 84246102.

201642480 is a `hidden beast` number, since 20 + 164 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201642487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207357 + ... + 1207523.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^201642480 is an apocalyptic number.

201642480 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 201642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

201642480 is an abundant number, since it is smaller than the sum of its proper divisors (568308240).

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

201642480 is a wasteful number, since it uses less digits than its factorization.

201642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 201642480 is about 14200.0873236752. The cubic root of 201642480 is about 586.4000653900.

Adding to 201642480 its reverse (84246102), we get a palindrome (285888582).

The spelling of 201642480 in words is "two hundred one million, six hundred forty-two thousand, four hundred eighty".