849636480 has 384 divisors, whose sum is σ = 3440957760. Its totient is φ = 176332800.

The previous prime is 849636451. The next prime is 849636493. The reversal of 849636480 is 84636948.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034470 + ... + 1035290.

Almost surely, 2^849636480 is an apocalyptic number.

849636480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720478880).

849636480 is an abundant number, since it is smaller than the sum of its proper divisors (2591321280).

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

849636480 is a wasteful number, since it uses less digits than its factorization.

849636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 849636480 is about 29148.5244909584. The cubic root of 849636480 is about 947.1331783424.

The spelling of 849636480 in words is "eight hundred forty-nine million, six hundred thirty-six thousand, four hundred eighty".