201006414 has 64 divisors (see below), whose sum is σ = 512179200. Its totient is φ = 57240864.

The previous prime is 201006397. The next prime is 201006427. The reversal of 201006414 is 414600102.

201006414 is a `hidden beast` number, since 20 + 1 + 0 + 0 + 641 + 4 = 666.

Together with 311172785 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146359 + ... + 147725.

It is an arithmetic number, because the mean of its divisors is an integer number (8002800).

Almost surely, 2^201006414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201006414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

201006414 is an abundant number, since it is smaller than the sum of its proper divisors (311172786).

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

201006414 is a wasteful number, since it uses less digits than its factorization.

201006414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201006414 is about 14177.6730812923. The cubic root of 201006414 is about 585.7828309967.

Adding to 201006414 its reverse (414600102), we get a palindrome (615606516).

The spelling of 201006414 in words is "two hundred one million, six thousand, four hundred fourteen".