431748 has 36 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 140976.

The previous prime is 431731. The next prime is 431759. The reversal of 431748 is 847134.

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

It is an unprimeable number.

431748 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 11 ways as a sum of consecutive naturals, for example, 2323 + ... + 2501.

It is an arithmetic number, because the mean of its divisors is an integer number (30940).

2⁴³¹⁷⁴⁸ 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 431748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

431748 is an abundant number, since it is smaller than the sum of its proper divisors (682092).

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

431748 is a wasteful number, since it uses less digits than its factorization.

431748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 431748 is about 657.0753381462. The cubic root of 431748 is about 75.5805610557.

The spelling of 431748 in words is "four hundred thirty-one thousand, seven hundred forty-eight".