431948 has 12 divisors (see below), whose sum is σ = 824712. Its totient is φ = 196320.

The previous prime is 431947. The next prime is 431983. The reversal of 431948 is 849134.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 431948.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431948.

It is not an unprimeable number, because it can be changed into a prime (431947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4865 + ... + 4952.

It is an arithmetic number, because the mean of its divisors is an integer number (68726).

2⁴³¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

431948 is a deficient number, since it is larger than the sum of its proper divisors (392764).

431948 is a wasteful number, since it uses less digits than its factorization.

431948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 9830 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 431948 is about 657.2275100755. The cubic root of 431948 is about 75.5922297287.

It can be divided in two parts, 43 and 1948, that added together give a palindrome (1991).

The spelling of 431948 in words is "four hundred thirty-one thousand, nine hundred forty-eight".