630432 has 72 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 190080.

The previous prime is 630391. The next prime is 630433. The reversal of 630432 is 234036.

630432 = 4⁵ + 5⁵ + ... + 12⁵.

630432 is a `hidden beast` number, since 630 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (630433) 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, 3069 + ... + 3267.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁶³⁰⁴³² 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 630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

630432 is an abundant number, since it is smaller than the sum of its proper divisors (1335168).

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

630432 is a wasteful number, since it uses less digits than its factorization.

630432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

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

The square root of 630432 is about 793.9974811043. The cubic root of 630432 is about 85.7457789035.

Adding to 630432 its reverse (234036), we get a palindrome (864468).

It can be divided in two parts, 6304 and 32, that added together give a palindrome (6336).

The spelling of 630432 in words is "six hundred thirty thousand, four hundred thirty-two".