419164 has 12 divisors (see below), whose sum is σ = 750904. Its totient is φ = 204624.

The previous prime is 419161. The next prime is 419171. The reversal of 419164 is 461914.

419164 = T₇ + T₈ + ... + T₁₃₅.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1047 + ... + 1390.

2⁴¹⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

419164 is a deficient number, since it is larger than the sum of its proper divisors (331740).

419164 is a wasteful number, since it uses less digits than its factorization.

419164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2482 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 419164 is about 647.4287605598. The cubic root of 419164 is about 74.8390027941.

The spelling of 419164 in words is "four hundred nineteen thousand, one hundred sixty-four".