432096 has 48 divisors (see below), whose sum is σ = 1298304. Its totient is φ = 123264.

The previous prime is 432073. The next prime is 432097. The reversal of 432096 is 690234.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432097) by changing a digit.

432096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (27048).

2⁴³²⁰⁹⁶ 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 432096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649152).

432096 is an abundant number, since it is smaller than the sum of its proper divisors (866208).

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

432096 is a wasteful number, since it uses less digits than its factorization.

432096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 432096 is about 657.3400946238. The cubic root of 432096 is about 75.6008622281.

The spelling of 432096 in words is "four hundred thirty-two thousand, ninety-six".