904819488400 has 135 divisors (see below), whose sum is σ = 2193987179721. Its totient is φ = 358602330240.

The previous prime is 904819488389. The next prime is 904819488437. The reversal of 904819488400 is 4884918409.

The square root of 904819488400 is 951220.

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

904819488400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 325735015824 + 579084472576 = 570732^2 + 760976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3785855481 + ... + 3785855719.

Almost surely, 2^904819488400 is an apocalyptic number.

904819488400 is the 951220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904819488400

904819488400 is an abundant number, since it is smaller than the sum of its proper divisors (1289167691321).

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

904819488400 is an equidigital number, since it uses as much as digits as its factorization.

904819488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 904819488400 in words is "nine hundred four billion, eight hundred nineteen million, four hundred eighty-eight thousand, four hundred".