419931 has 16 divisors (see below), whose sum is σ = 632320. Its totient is φ = 275400.

The previous prime is 419929. The next prime is 419933. The reversal of 419931 is 139914.

It is an interprime number because it is at equal distance from previous prime (419929) and next prime (419933).

It is not a de Polignac number, because 419931 - 2¹ = 419929 is a prime.

It is a super-2 number, since 2×419931² = 352684089522, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 419895 and 419904.

It is not an unprimeable number, because it can be changed into a prime (419933) 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, 2706 + ... + 2856.

It is an arithmetic number, because the mean of its divisors is an integer number (39520).

2⁴¹⁹⁹³¹ is an apocalyptic number.

419931 is a deficient number, since it is larger than the sum of its proper divisors (212389).

419931 is a wasteful number, since it uses less digits than its factorization.

419931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

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

The square root of 419931 is about 648.0208329984. The cubic root of 419931 is about 74.8846225984.

Subtracting from 419931 its sum of digits (27), we obtain a square (419904 = 648²).

Adding to 419931 its product of digits (972), we get a triangular number (420903 = T₉₁₇).

The spelling of 419931 in words is "four hundred nineteen thousand, nine hundred thirty-one".