419552328 has 64 divisors (see below), whose sum is σ = 1134080640. Its totient is φ = 128577024.

The previous prime is 419552323. The next prime is 419552339. The reversal of 419552328 is 823255914.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (419552323) 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 15 ways as a sum of consecutive naturals, for example, 79500 + ... + 84612.

It is an arithmetic number, because the mean of its divisors is an integer number (17720010).

Almost surely, 2^419552328 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 419552328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567040320).

419552328 is an abundant number, since it is smaller than the sum of its proper divisors (714528312).

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

419552328 is a wasteful number, since it uses less digits than its factorization.

419552328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5394 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 419552328 is about 20482.9765415088. The cubic root of 419552328 is about 748.6210680605.

The spelling of 419552328 in words is "four hundred nineteen million, five hundred fifty-two thousand, three hundred twenty-eight".