201255600 has 480 divisors, whose sum is σ = 843834880. Its totient is φ = 39813120.

The previous prime is 201255569. The next prime is 201255629. The reversal of 201255600 is 6552102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074752 + ... + 2074848.

Almost surely, 2^201255600 is an apocalyptic number.

201255600 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 201255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421917440).

201255600 is an abundant number, since it is smaller than the sum of its proper divisors (642579280).

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

201255600 is a wasteful number, since it uses less digits than its factorization.

201255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 201255600 is about 14186.4583318036. The cubic root of 201255600 is about 586.0247944251.

The spelling of 201255600 in words is "two hundred one million, two hundred fifty-five thousand, six hundred".