904616480 has 48 divisors (see below), whose sum is σ = 2152808280. Its totient is φ = 359196672.

The previous prime is 904616477. The next prime is 904616501. The reversal of 904616480 is 84616409.

904616480 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 4 ways, for example, as 468809104 + 435807376 = 21652^2 + 20876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 42554.

Almost surely, 2^904616480 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 904616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076404140).

904616480 is an abundant number, since it is smaller than the sum of its proper divisors (1248191800).

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

904616480 is a wasteful number, since it uses less digits than its factorization.

904616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41421 (or 41413 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 904616480 is about 30076.8429194289. The cubic root of 904616480 is about 967.1373709716.

The spelling of 904616480 in words is "nine hundred four million, six hundred sixteen thousand, four hundred eighty".