819521472 has 168 divisors, whose sum is σ = 2751978240. Its totient is φ = 212835840.

The previous prime is 819521467. The next prime is 819521491. The reversal of 819521472 is 274125918.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 819521472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99529 + ... + 107447.

Almost surely, 2^819521472 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 819521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375989120).

819521472 is an abundant number, since it is smaller than the sum of its proper divisors (1932456768).

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

819521472 is a wasteful number, since it uses less digits than its factorization.

819521472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7959 (or 7942 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 819521472 is about 28627.2854458819. The cubic root of 819521472 is about 935.8080547307.

The spelling of 819521472 in words is "eight hundred nineteen million, five hundred twenty-one thousand, four hundred seventy-two".