432016 has 40 divisors (see below), whose sum is σ = 944384. Its totient is φ = 190080.

The previous prime is 432007. The next prime is 432023. The reversal of 432016 is 610234.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6415 + ... + 6481.

2⁴³²⁰¹⁶ is an apocalyptic number.

432016 is the 416-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472192).

432016 is an abundant number, since it is smaller than the sum of its proper divisors (512368).

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

432016 is a wasteful number, since it uses less digits than its factorization.

432016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 432016 is about 657.2792405059. The cubic root of 432016 is about 75.5961962570.

The spelling of 432016 in words is "four hundred thirty-two thousand, sixteen".