804121408 has 56 divisors (see below), whose sum is σ = 1634947200. Its totient is φ = 392291328.

The previous prime is 804121393. The next prime is 804121411.

804121408 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×804121408² = 1293222477607804928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449091 + ... + 450877.

Almost surely, 2^804121408 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 804121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817473600).

804121408 is an abundant number, since it is smaller than the sum of its proper divisors (830825792).

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

804121408 is a wasteful number, since it uses less digits than its factorization.

804121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 804121408 is about 28357.0345417147. The cubic root of 804121408 is about 929.9091937392.

The spelling of 804121408 in words is "eight hundred four million, one hundred twenty-one thousand, four hundred eight".