638472 has 32 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 206784.

The previous prime is 638467. The next prime is 638489. The reversal of 638472 is 274836.

638472 is nontrivially palindromic in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 638472.

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, 529 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2⁶³⁸⁴⁷² 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 638472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

638472 is an abundant number, since it is smaller than the sum of its proper divisors (1003128).

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

638472 is a wasteful number, since it uses less digits than its factorization.

638472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 638472 is about 799.0444293029. The cubic root of 638472 is about 86.1087501106.

The spelling of 638472 in words is "six hundred thirty-eight thousand, four hundred seventy-two".