201845952 has 448 divisors, whose sum is σ = 778337280. Its totient is φ = 49766400.

The previous prime is 201845939. The next prime is 201846017. The reversal of 201845952 is 259548102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4923052 + ... + 4923092.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^201845952 is an apocalyptic number.

201845952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201845952 is the 7104-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

201845952 is an abundant number, since it is smaller than the sum of its proper divisors (576491328).

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

201845952 is a wasteful number, since it uses less digits than its factorization.

201845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 201845952 is about 14207.2499802038. The cubic root of 201845952 is about 586.5972392589.

The spelling of 201845952 in words is "two hundred one million, eight hundred forty-five thousand, nine hundred fifty-two".