431388 has 36 divisors (see below), whose sum is σ = 1140048. Its totient is φ = 137280.

The previous prime is 431381. The next prime is 431399. The reversal of 431388 is 883134.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 7.

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 431388.

It is not an unprimeable number, because it can be changed into a prime (431381) 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, 568 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (31668).

2⁴³¹³⁸⁸ 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 431388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570024).

431388 is an abundant number, since it is smaller than the sum of its proper divisors (708660).

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

431388 is a wasteful number, since it uses less digits than its factorization.

431388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 431388 is about 656.8013398281. The cubic root of 431388 is about 75.5595483601.

It can be divided in two parts, 43 and 1388, that added together give a triangular number (1431 = T₅₃).

The spelling of 431388 in words is "four hundred thirty-one thousand, three hundred eighty-eight".