849982464 has 176 divisors, whose sum is σ = 2558586240. Its totient is φ = 278691840.

The previous prime is 849982453. The next prime is 849982477. The reversal of 849982464 is 464289948.

It is a super-2 number, since 2×849982464² = 1444940378215022592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 849982464.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1962792 + ... + 1963224.

Almost surely, 2^849982464 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 849982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279293120).

849982464 is an abundant number, since it is smaller than the sum of its proper divisors (1708603776).

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

849982464 is a wasteful number, since it uses less digits than its factorization.

849982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 509 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 849982464 is about 29154.4587327565. The cubic root of 849982464 is about 947.2617229075.

The spelling of 849982464 in words is "eight hundred forty-nine million, nine hundred eighty-two thousand, four hundred sixty-four".