419940 has 36 divisors (see below), whose sum is σ = 1274364. Its totient is φ = 111936.

The previous prime is 419933. The next prime is 419953. The reversal of 419940 is 49914.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 272484 = 384^2 + 522^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (35399).

2⁴¹⁹⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

419940 is an abundant number, since it is smaller than the sum of its proper divisors (854424).

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

419940 is a wasteful number, since it uses less digits than its factorization.

419940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 419940 is about 648.0277771824. The cubic root of 419940 is about 74.8851575726.

The spelling of 419940 in words is "four hundred nineteen thousand, nine hundred forty".