804304048900 has 243 divisors, whose sum is σ = 1989878472309. Its totient is φ = 281963352000.

The previous prime is 804304048883. The next prime is 804304048921. The reversal of 804304048900 is 9840403408.

The square root of 804304048900 is 896830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 289549457604 + 514754591296 = 538098^2 + 717464^2 .

It is a super-3 number, since 3×804304048900³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3058190169 + ... + 3058190431.

Almost surely, 2^804304048900 is an apocalyptic number.

804304048900 is the 896830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804304048900

804304048900 is an abundant number, since it is smaller than the sum of its proper divisors (1185574423409).

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

804304048900 is a wasteful number, since it uses less digits than its factorization.

804304048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 804304048900 in words is "eight hundred four billion, three hundred four million, forty-eight thousand, nine hundred".