419724 has 36 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 137280.

The previous prime is 419711. The next prime is 419743. The reversal of 419724 is 427914.

It is a happy number.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

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, 3139 + ... + 3269.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁴¹⁹⁷²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540).

419724 is an abundant number, since it is smaller than the sum of its proper divisors (661356).

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

419724 is a wasteful number, since it uses less digits than its factorization.

419724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 419724 is about 647.8610962236. The cubic root of 419724 is about 74.8723160809.

The spelling of 419724 in words is "four hundred nineteen thousand, seven hundred twenty-four".