804838562400 has 288 divisors, whose sum is σ = 2659667270400. Its totient is φ = 211360307200.

The previous prime is 804838562383. The next prime is 804838562431. The reversal of 804838562400 is 4265838408.

804838562400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×804838562400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 804838562400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188971471 + ... + 188975729.

It is an arithmetic number, because the mean of its divisors is an integer number (9234955800).

Almost surely, 2^804838562400 is an apocalyptic number.

804838562400 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 804838562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329833635200).

804838562400 is an abundant number, since it is smaller than the sum of its proper divisors (1854828708000).

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

804838562400 is a wasteful number, since it uses less digits than its factorization.

804838562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 804838562400 in words is "eight hundred four billion, eight hundred thirty-eight million, five hundred sixty-two thousand, four hundred".