201552456 has 128 divisors (see below), whose sum is σ = 611020800. Its totient is φ = 54120960.

The previous prime is 201552451. The next prime is 201552499. The reversal of 201552456 is 654255102.

It is not an unprimeable number, because it can be changed into a prime (201552451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743601 + ... + 743871.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^201552456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201552456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305510400).

201552456 is an abundant number, since it is smaller than the sum of its proper divisors (409468344).

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

201552456 is a wasteful number, since it uses less digits than its factorization.

201552456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 201552456 is about 14196.9171301378. The cubic root of 201552456 is about 586.3127856039.

The spelling of 201552456 in words is "two hundred one million, five hundred fifty-two thousand, four hundred fifty-six".