431472 has 40 divisors (see below), whose sum is σ = 1138320. Its totient is φ = 140800.

The previous prime is 431449. The next prime is 431479. The reversal of 431472 is 274134.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431479) by changing a digit.

431472 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 7 ways as a sum of consecutive naturals, for example, 4222 + ... + 4322.

It is an arithmetic number, because the mean of its divisors is an integer number (28458).

2⁴³¹⁴⁷² 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 431472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569160).

431472 is an abundant number, since it is smaller than the sum of its proper divisors (706848).

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

431472 is a wasteful number, since it uses less digits than its factorization.

431472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 431472 is about 656.8652829919. The cubic root of 431472 is about 75.5644523677.

It can be divided in two parts, 431 and 472, that added together give a triangular number (903 = T₄₂).

The spelling of 431472 in words is "four hundred thirty-one thousand, four hundred seventy-two".