814080416 has 12 divisors (see below), whose sum is σ = 1602720882. Its totient is φ = 407040192.

The previous prime is 814080383. The next prime is 814080433. The reversal of 814080416 is 614080418.

It can be written as a sum of positive squares in only one way, i.e., 449270416 + 364810000 = 21196^2 + 19100^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 25440013 = 814080416 / (8 + 1 + 4 + 0 + 8 + 0 + 4 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12719975 + ... + 12720038.

Almost surely, 2^814080416 is an apocalyptic number.

It is an amenable number.

814080416 is a deficient number, since it is larger than the sum of its proper divisors (788640466).

814080416 is a wasteful number, since it uses less digits than its factorization.

814080416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25440023 (or 25440015 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 814080416 is about 28532.0944902403. The cubic root of 814080416 is about 933.7324148210.

The spelling of 814080416 in words is "eight hundred fourteen million, eighty thousand, four hundred sixteen".