432516 has 48 divisors (see below), whose sum is σ = 1218560. Its totient is φ = 116640.

The previous prime is 432511. The next prime is 432527. The reversal of 432516 is 615234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 432492 and 432501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432511) by changing a digit.

432516 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 15 ways as a sum of consecutive naturals, for example, 1461 + ... + 1731.

2⁴³²⁵¹⁶ 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 432516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609280).

432516 is an abundant number, since it is smaller than the sum of its proper divisors (786044).

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

432516 is a wasteful number, since it uses less digits than its factorization.

432516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 432516 is about 657.6594863605. The cubic root of 432516 is about 75.6253491321.

The spelling of 432516 in words is "four hundred thirty-two thousand, five hundred sixteen".