819302401 has 8 divisors (see below), whose sum is σ = 862759520. Its totient is φ = 775878912.

The previous prime is 819302377. The next prime is 819302447. The reversal of 819302401 is 104203918.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 819302401 - 2¹⁷ = 819171329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 819302401.

It is not an unprimeable number, because it can be changed into a prime (819302201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53281 + ... + 66913.

It is an arithmetic number, because the mean of its divisors is an integer number (107844940).

Almost surely, 2^819302401 is an apocalyptic number.

It is an amenable number.

819302401 is a deficient number, since it is larger than the sum of its proper divisors (43457119).

819302401 is a wasteful number, since it uses less digits than its factorization.

819302401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16815.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 819302401 is about 28623.4589279493. The cubic root of 819302401 is about 935.7246618877.

The spelling of 819302401 in words is "eight hundred nineteen million, three hundred two thousand, four hundred one".