904007328849 has 81 divisors (see below), whose sum is σ = 1408497170769. Its totient is φ = 558609903360.

The previous prime is 904007328839. The next prime is 904007328893. The reversal of 904007328849 is 948823700409.

The square root of 904007328849 is 950793.

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

904007328849 is a `hidden beast` number, since 90 + 400 + 7 + 32 + 88 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127374041025 + 776633287824 = 356895^2 + 881268^2 .

It is not a de Polignac number, because 904007328849 - 2²³ = 903998940241 is a prime.

It is a super-2 number, since 2×904007328849² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 904007328795 and 904007328804.

It is not an unprimeable number, because it can be changed into a prime (904007328839) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 4994515539 + ... + 4994515719.

Almost surely, 2^904007328849 is an apocalyptic number.

904007328849 is the 950793-rd square number.

904007328849 is the 475397-th centered octagonal number.

It is an amenable number.

904007328849 is a deficient number, since it is larger than the sum of its proper divisors (504489841920).

904007328849 is a wasteful number, since it uses less digits than its factorization.

904007328849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 904007328849 in words is "nine hundred four billion, seven million, three hundred twenty-eight thousand, eight hundred forty-nine".