804000414 has 64 divisors (see below), whose sum is σ = 1950220800. Its totient is φ = 215712768.

The previous prime is 804000401. The next prime is 804000419. The reversal of 804000414 is 414000408.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804000419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405277 + ... + 407255.

It is an arithmetic number, because the mean of its divisors is an integer number (30472200).

Almost surely, 2^804000414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804000414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975110400).

804000414 is an abundant number, since it is smaller than the sum of its proper divisors (1146220386).

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

804000414 is a wasteful number, since it uses less digits than its factorization.

804000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 804000414 is about 28354.9010578418. The cubic root of 804000414 is about 929.8625510823.

The spelling of 804000414 in words is "eight hundred four million, four hundred fourteen", and thus it is an aban number.