419328 has 120 divisors (see below), whose sum is σ = 1489488. Its totient is φ = 110592.

The previous prime is 419317. The next prime is 419329. The reversal of 419328 is 823914.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32250 + ... + 32262.

419328 is a Friedman number, since it can be written as (3^8-9)*4^(2+1), using all its digits and the basic arithmetic operations.

2⁴¹⁹³²⁸ is an apocalyptic number.

419328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744744).

419328 is an abundant number, since it is smaller than the sum of its proper divisors (1070160).

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

419328 is a wasteful number, since it uses less digits than its factorization.

419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 25 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 419328 is about 647.5554030351. Note that the first 3 decimals coincide. The cubic root of 419328 is about 74.8487618988.

It can be divided in two parts, 419 and 328, that added together give a palindrome (747).

The spelling of 419328 in words is "four hundred nineteen thousand, three hundred twenty-eight".