853314000 has 320 divisors, whose sum is σ = 3431780352. Its totient is φ = 177216000.

The previous prime is 853313977. The next prime is 853314001. The reversal of 853314000 is 413358.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853314001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461077 + ... + 462923.

Almost surely, 2^853314000 is an apocalyptic number.

853314000 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 853314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715890176).

853314000 is an abundant number, since it is smaller than the sum of its proper divisors (2578466352).

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

853314000 is a wasteful number, since it uses less digits than its factorization.

853314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 853314000 is about 29211.5388160227. The cubic root of 853314000 is about 948.4977179553.

Adding to 853314000 its reverse (413358), we get a palindrome (853727358).

The spelling of 853314000 in words is "eight hundred fifty-three million, three hundred fourteen thousand".