419232 has 48 divisors (see below), whose sum is σ = 1203552. Its totient is φ = 126720.

The previous prime is 419231. The next prime is 419249. The reversal of 419232 is 232914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 419199 and 419208.

It is not an unprimeable number, because it can be changed into a prime (419231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (25074).

2⁴¹⁹²³² 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 419232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601776).

419232 is an abundant number, since it is smaller than the sum of its proper divisors (784320).

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

419232 is a wasteful number, since it uses less digits than its factorization.

419232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 419232 is about 647.4812738605. The cubic root of 419232 is about 74.8430495610.

It can be divided in two parts, 4192 and 32, that added together give a palindrome (4224).

The spelling of 419232 in words is "four hundred nineteen thousand, two hundred thirty-two".