201942432 has 72 divisors (see below), whose sum is σ = 592824960. Its totient is φ = 65139840.

The previous prime is 201942421. The next prime is 201942437. The reversal of 201942432 is 234249102.

201942432 is a `hidden beast` number, since 201 + 9 + 424 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 201942396 and 201942405.

It is not an unprimeable number, because it can be changed into a prime (201942437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2382 + ... + 20237.

It is an arithmetic number, because the mean of its divisors is an integer number (8233680).

Almost surely, 2^201942432 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 201942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296412480).

201942432 is an abundant number, since it is smaller than the sum of its proper divisors (390882528).

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

201942432 is a wasteful number, since it uses less digits than its factorization.

201942432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22666 (or 22655 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 201942432 is about 14210.6450240656. The cubic root of 201942432 is about 586.6906865739.

The spelling of 201942432 in words is "two hundred one million, nine hundred forty-two thousand, four hundred thirty-two".