419324928 has 88 divisors (see below), whose sum is σ = 1219356960. Its totient is φ = 127057920.

The previous prime is 419324909. The next prime is 419324951. The reversal of 419324928 is 829423914.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 419324928.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27588 + ... + 39996.

Almost surely, 2^419324928 is an apocalyptic number.

419324928 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 419324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609678480).

419324928 is an abundant number, since it is smaller than the sum of its proper divisors (800032032).

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

419324928 is a wasteful number, since it uses less digits than its factorization.

419324928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12443 (or 12425 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 419324928 is about 20477.4248380992. The cubic root of 419324928 is about 748.4857911751.

The spelling of 419324928 in words is "four hundred nineteen million, three hundred twenty-four thousand, nine hundred twenty-eight".