306432 has 108 divisors (see below), whose sum is σ = 1062880. Its totient is φ = 82944.

The previous prime is 306431. The next prime is 306437. The reversal of 306432 is 234603.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306432.

It is not an unprimeable number, because it can be changed into a prime (306431) 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, 16119 + ... + 16137.

2³⁰⁶⁴³² is an apocalyptic number.

306432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531440).

306432 is an abundant number, since it is smaller than the sum of its proper divisors (756448).

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

306432 is a wasteful number, since it uses less digits than its factorization.

306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 306432 is about 553.5630045442. The cubic root of 306432 is about 67.4183374572.

The spelling of 306432 in words is "three hundred six thousand, four hundred thirty-two".