856492000 has 288 divisors, whose sum is σ = 2618650944. Its totient is φ = 269568000.

The previous prime is 856491997. The next prime is 856492067. The reversal of 856492000 is 294658.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4731910 + ... + 4732090.

It is an arithmetic number, because the mean of its divisors is an integer number (9092538).

Almost surely, 2^856492000 is an apocalyptic number.

856492000 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 856492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309325472).

856492000 is an abundant number, since it is smaller than the sum of its proper divisors (1762158944).

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

856492000 is a wasteful number, since it uses less digits than its factorization.

856492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 856492000 is about 29265.8845757308. The cubic root of 856492000 is about 949.6737568592.

The spelling of 856492000 in words is "eight hundred fifty-six million, four hundred ninety-two thousand".