201046080 has 224 divisors, whose sum is σ = 688214016. Its totient is φ = 49545216.

The previous prime is 201046051. The next prime is 201046091. The reversal of 201046080 is 80640102.

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, 1582977 + ... + 1583103.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^201046080 is an apocalyptic number.

201046080 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 201046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344107008).

201046080 is an abundant number, since it is smaller than the sum of its proper divisors (487167936).

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

201046080 is a wasteful number, since it uses less digits than its factorization.

201046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 201046080 is about 14179.0719019264. The cubic root of 201046080 is about 585.8213606685.

Adding to 201046080 its reverse (80640102), we get a palindrome (281686182).

The spelling of 201046080 in words is "two hundred one million, forty-six thousand, eighty".