431919 has 16 divisors (see below), whose sum is σ = 678240. Its totient is φ = 270720.

The previous prime is 431911. The next prime is 431929. The reversal of 431919 is 919134.

It is not a de Polignac number, because 431919 - 2³ = 431911 is a prime.

It is a super-2 number, since 2×431919² = 373108045122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

431919 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 431892 and 431901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (42390).

2⁴³¹⁹¹⁹ is an apocalyptic number.

431919 is a deficient number, since it is larger than the sum of its proper divisors (246321).

431919 is a wasteful number, since it uses less digits than its factorization.

431919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 431919 is about 657.2054473298. The cubic root of 431919 is about 75.5905379944.

The spelling of 431919 in words is "four hundred thirty-one thousand, nine hundred nineteen".