904928640 has 256 divisors, whose sum is σ = 3596797440. Its totient is φ = 188006400.

The previous prime is 904928627. The next prime is 904928641. The reversal of 904928640 is 46829409.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 904928592 and 904928601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904928641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144780 + ... + 150900.

It is an arithmetic number, because the mean of its divisors is an integer number (14049990).

Almost surely, 2^904928640 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 904928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798398720).

904928640 is an abundant number, since it is smaller than the sum of its proper divisors (2691868800).

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

904928640 is a wasteful number, since it uses less digits than its factorization.

904928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 904928640 is about 30082.0318462700. The cubic root of 904928640 is about 967.2486029647.

The spelling of 904928640 in words is "nine hundred four million, nine hundred twenty-eight thousand, six hundred forty".