819456020 has 54 divisors (see below), whose sum is σ = 1778906682. Its totient is φ = 317079936.

The previous prime is 819456017. The next prime is 819456023. The reversal of 819456020 is 20654918.

It is an interprime number because it is at equal distance from previous prime (819456017) and next prime (819456023).

It can be written as a sum of positive squares in 9 ways, for example, as 169104016 + 650352004 = 13004^2 + 25502^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819456023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4736654 + ... + 4736826.

Almost surely, 2^819456020 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 819456020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889453341).

819456020 is an abundant number, since it is smaller than the sum of its proper divisors (959450662).

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

819456020 is a wasteful number, since it uses less digits than its factorization.

819456020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 819456020 is about 28626.1422479523. The cubic root of 819456020 is about 935.7831409480.

The spelling of 819456020 in words is "eight hundred nineteen million, four hundred fifty-six thousand, twenty".