201558468 has 48 divisors (see below), whose sum is σ = 491158080. Its totient is φ = 64251264.

The previous prime is 201558463. The next prime is 201558473. The reversal of 201558468 is 864855102.

It is an interprime number because it is at equal distance from previous prime (201558463) and next prime (201558473).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (201558463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34530 + ... + 39942.

It is an arithmetic number, because the mean of its divisors is an integer number (10232460).

Almost surely, 2^201558468 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 201558468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245579040).

201558468 is an abundant number, since it is smaller than the sum of its proper divisors (289599612).

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

201558468 is a wasteful number, since it uses less digits than its factorization.

201558468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 201558468 is about 14197.1288646684. The cubic root of 201558468 is about 586.3186151491.

The spelling of 201558468 in words is "two hundred one million, five hundred fifty-eight thousand, four hundred sixty-eight".