849605904 has 135 divisors (see below), whose sum is σ = 2773909047. Its totient is φ = 242044992.

The previous prime is 849605899. The next prime is 849605909. The reversal of 849605904 is 409506948.

It is a happy number.

The square root of 849605904 is 29148.

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

It is an interprime number because it is at equal distance from previous prime (849605899) and next prime (849605909).

It is a super-2 number, since 2×849605904² = 1443660384223314432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 849605904.

It is not an unprimeable number, because it can be changed into a prime (849605909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2448259 + ... + 2448605.

Almost surely, 2^849605904 is an apocalyptic number.

849605904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

849605904 is the 29148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849605904

849605904 is an abundant number, since it is smaller than the sum of its proper divisors (1924303143).

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

849605904 is a wasteful number, since it uses less digits than its factorization.

849605904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 849605904 is about 947.1218166632.

The spelling of 849605904 in words is "eight hundred forty-nine million, six hundred five thousand, nine hundred four".