904213480800 has 2304 divisors, whose sum is σ = 3974145638400. Its totient is φ = 173717913600.

The previous prime is 904213480783. The next prime is 904213480813. The reversal of 904213480800 is 8084312409.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 6600098332 + ... + 6600098468.

It is an arithmetic number, because the mean of its divisors is an integer number (1724889600).

Almost surely, 2^904213480800 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 904213480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987072819200).

904213480800 is an abundant number, since it is smaller than the sum of its proper divisors (3069932157600).

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

904213480800 is a wasteful number, since it uses less digits than its factorization.

904213480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 904213480800 in words is "nine hundred four billion, two hundred thirteen million, four hundred eighty thousand, eight hundred".