201405008 has 40 divisors (see below), whose sum is σ = 448959360. Its totient is φ = 85737600.

The previous prime is 201404993. The next prime is 201405013. The reversal of 201405008 is 800504102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10958 + ... + 22866.

It is an arithmetic number, because the mean of its divisors is an integer number (11223984).

Almost surely, 2^201405008 is an apocalyptic number.

201405008 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 201405008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224479680).

201405008 is an abundant number, since it is smaller than the sum of its proper divisors (247554352).

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

201405008 is a wasteful number, since it uses less digits than its factorization.

201405008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12069 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 201405008 is about 14191.7232216528. The cubic root of 201405008 is about 586.1697761211.

The spelling of 201405008 in words is "two hundred one million, four hundred five thousand, eight".