819465460 has 96 divisors (see below), whose sum is σ = 1923626880. Its totient is φ = 290726400.

The previous prime is 819465403. The next prime is 819465463. The reversal of 819465460 is 64564918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819465463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3046206 + ... + 3046474.

It is an arithmetic number, because the mean of its divisors is an integer number (20037780).

Almost surely, 2^819465460 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 819465460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961813440).

819465460 is an abundant number, since it is smaller than the sum of its proper divisors (1104161420).

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

819465460 is a wasteful number, since it uses less digits than its factorization.

819465460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 819465460 is about 28626.3071317276. The cubic root of 819465460 is about 935.7867342907.

The spelling of 819465460 in words is "eight hundred nineteen million, four hundred sixty-five thousand, four hundred sixty".