419728344 has 128 divisors (see below), whose sum is σ = 1254113280. Its totient is φ = 114537600.

The previous prime is 419728307. The next prime is 419728363. The reversal of 419728344 is 443827914.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 419728296 and 419728305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431779 + ... + 432749.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2^419728344 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 419728344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

419728344 is an abundant number, since it is smaller than the sum of its proper divisors (834384936).

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

419728344 is a wasteful number, since it uses less digits than its factorization.

419728344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1097 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 419728344 is about 20487.2727321135. The cubic root of 419728344 is about 748.7257438099.

The spelling of 419728344 in words is "four hundred nineteen million, seven hundred twenty-eight thousand, three hundred forty-four".