804406206400 has 84 divisors (see below), whose sum is σ = 1979915252760. Its totient is φ = 321669299200.

The previous prime is 804406206347. The next prime is 804406206407. The reversal of 804406206400 is 4602604408.

It is a happy number.

804406206400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804406206407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5591370 + ... + 5733430.

Almost surely, 2^804406206400 is an apocalyptic number.

804406206400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804406206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989957626380).

804406206400 is an abundant number, since it is smaller than the sum of its proper divisors (1175509046360).

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

804406206400 is a wasteful number, since it uses less digits than its factorization.

804406206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145622 (or 145607 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 804406206400 in words is "eight hundred four billion, four hundred six million, two hundred six thousand, four hundred".