853272000 has 336 divisors, whose sum is σ = 3490398912. Its totient is φ = 194918400.

The previous prime is 853271989. The next prime is 853272019. The reversal of 853272000 is 272358.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503154 + ... + 504846.

It is an arithmetic number, because the mean of its divisors is an integer number (10388092).

Almost surely, 2^853272000 is an apocalyptic number.

853272000 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 853272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745199456).

853272000 is an abundant number, since it is smaller than the sum of its proper divisors (2637126912).

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

853272000 is a wasteful number, since it uses less digits than its factorization.

853272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 853272000 is about 29210.8199131760. The cubic root of 853272000 is about 948.4821560568.

The spelling of 853272000 in words is "eight hundred fifty-three million, two hundred seventy-two thousand".