419949 has 12 divisors (see below), whose sum is σ = 627900. Its totient is φ = 270144.

The previous prime is 419933. The next prime is 419953. The reversal of 419949 is 949914.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 81225 = 582^2 + 285^2 .

It is not a de Polignac number, because 419949 - 2⁴ = 419933 is a prime.

It is a Curzon number.

419949 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 544 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (52325).

2⁴¹⁹⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

419949 is a deficient number, since it is larger than the sum of its proper divisors (207951).

419949 is a wasteful number, since it uses less digits than its factorization.

419949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1641 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 419949 is about 648.0347212920. The cubic root of 419949 is about 74.8856925392.

The spelling of 419949 in words is "four hundred nineteen thousand, nine hundred forty-nine".