431604 has 36 divisors (see below), whose sum is σ = 1150240. Its totient is φ = 136080.

The previous prime is 431603. The next prime is 431611. The reversal of 431604 is 406134.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369 + ... + 999.

2⁴³¹⁶⁰⁴ 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 431604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575120).

431604 is an abundant number, since it is smaller than the sum of its proper divisors (718636).

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

431604 is a wasteful number, since it uses less digits than its factorization.

431604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 431604 is about 656.9657525320. The cubic root of 431604 is about 75.5721573796.

Adding to 431604 its reverse (406134), we get a palindrome (837738).

It can be divided in two parts, 431 and 604, that added together give a triangular number (1035 = T₄₅).

The spelling of 431604 in words is "four hundred thirty-one thousand, six hundred four".