819431424 has 384 divisors, whose sum is σ = 2909088000. Its totient is φ = 222953472.

The previous prime is 819431383. The next prime is 819431429. The reversal of 819431424 is 424134918.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (819431429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11225052 + ... + 11225124.

It is an arithmetic number, because the mean of its divisors is an integer number (7575750).

Almost surely, 2^819431424 is an apocalyptic number.

819431424 is a gapful number since it is divisible by the number (84) 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 819431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454544000).

819431424 is an abundant number, since it is smaller than the sum of its proper divisors (2089656576).

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

819431424 is a wasteful number, since it uses less digits than its factorization.

819431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 819431424 is about 28625.7126374174. The cubic root of 819431424 is about 935.7737783335.

The spelling of 819431424 in words is "eight hundred nineteen million, four hundred thirty-one thousand, four hundred twenty-four".