419957 has 12 divisors (see below), whose sum is σ = 476640. Its totient is φ = 368280.

The previous prime is 419953. The next prime is 419959. The reversal of 419957 is 759914.

It is not a de Polignac number, because 419957 - 2² = 419953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419953) 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, 13532 + ... + 13562.

It is an arithmetic number, because the mean of its divisors is an integer number (39720).

2⁴¹⁹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

419957 is a deficient number, since it is larger than the sum of its proper divisors (56683).

419957 is a wasteful number, since it uses less digits than its factorization.

419957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its digits is 11340, while the sum is 35.

The square root of 419957 is about 648.0408937714. The cubic root of 419957 is about 74.8861680587.

The spelling of 419957 in words is "four hundred nineteen thousand, nine hundred fifty-seven".