419964 has 24 divisors (see below), whose sum is σ = 994560. Its totient is φ = 137904.

The previous prime is 419959. The next prime is 419999. The reversal of 419964 is 469914.

419964 = 212² + 213² + ... + 220².

It is a super-2 number, since 2×419964² = 352739522592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (41440).

2⁴¹⁹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

419964 is an abundant number, since it is smaller than the sum of its proper divisors (574596).

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

419964 is a wasteful number, since it uses less digits than its factorization.

419964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 419964 is about 648.0462946426. The cubic root of 419964 is about 74.8865841332.

The spelling of 419964 in words is "four hundred nineteen thousand, nine hundred sixty-four".