419824 has 20 divisors (see below), whose sum is σ = 856840. Its totient is φ = 198720.

The previous prime is 419821. The next prime is 419827. The reversal of 419824 is 428914.

It is an interprime number because it is at equal distance from previous prime (419821) and next prime (419827).

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 419792 and 419801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 387 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (42842).

2⁴¹⁹⁸²⁴ is an apocalyptic number.

It is an amenable number.

419824 is an abundant number, since it is smaller than the sum of its proper divisors (437016).

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

419824 is a wasteful number, since it uses less digits than its factorization.

419824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 419824 is about 647.9382686645. The cubic root of 419824 is about 74.8782617635.

The spelling of 419824 in words is "four hundred nineteen thousand, eight hundred twenty-four".