904492298304 has 1323 divisors, whose sum is σ = 3417678540423. Its totient is φ = 236651175936.

The previous prime is 904492298263. The next prime is 904492298351. The reversal of 904492298304 is 403892294409.

The square root of 904492298304 is 951048.

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

904492298304 is a `hidden beast` number, since 9 + 0 + 4 + 49 + 2 + 298 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 420744227904 + 483748070400 = 648648^2 + 695520^2 .

It is a tau number, because it is divible by the number of its divisors (1323).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 188 ways as a sum of consecutive naturals, for example, 24445737774 + ... + 24445737810.

Almost surely, 2^904492298304 is an apocalyptic number.

904492298304 is the 951048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904492298304

904492298304 is an abundant number, since it is smaller than the sum of its proper divisors (2513186242119).

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

904492298304 is an equidigital number, since it uses as much as digits as its factorization.

904492298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 904492298304 in words is "nine hundred four billion, four hundred ninety-two million, two hundred ninety-eight thousand, three hundred four".