201452832 has 144 divisors (see below), whose sum is σ = 679154112. Its totient is φ = 57542400.

The previous prime is 201452831. The next prime is 201452833. The reversal of 201452832 is 238254102.

201452832 is a `hidden beast` number, since 201 + 452 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (201452831) and next prime (201452833).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201452796 and 201452805.

It is not an unprimeable number, because it can be changed into a prime (201452831) 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, 52582 + ... + 56282.

It is an arithmetic number, because the mean of its divisors is an integer number (4716348).

Almost surely, 2^201452832 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 201452832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339577056).

201452832 is an abundant number, since it is smaller than the sum of its proper divisors (477701280).

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

201452832 is an equidigital number, since it uses as much as digits as its factorization.

201452832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 201452832 is about 14193.4080474000. The cubic root of 201452832 is about 586.2161681566.

The spelling of 201452832 in words is "two hundred one million, four hundred fifty-two thousand, eight hundred thirty-two".