201946752 has 192 divisors, whose sum is σ = 674668800. Its totient is φ = 56788992.

The previous prime is 201946751. The next prime is 201946753. The reversal of 201946752 is 257649102.

It is an interprime number because it is at equal distance from previous prime (201946751) and next prime (201946753).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (201946751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636898 + ... + 637214.

It is an arithmetic number, because the mean of its divisors is an integer number (3513900).

Almost surely, 2^201946752 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 201946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337334400).

201946752 is an abundant number, since it is smaller than the sum of its proper divisors (472722048).

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

201946752 is a wasteful number, since it uses less digits than its factorization.

201946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 201946752 is about 14210.7970219830. The cubic root of 201946752 is about 586.6948700858.

The spelling of 201946752 in words is "two hundred one million, nine hundred forty-six thousand, seven hundred fifty-two".