854256000 has 384 divisors, whose sum is σ = 3134345760. Its totient is φ = 204595200.

The previous prime is 854255989. The next prime is 854256023. The reversal of 854256000 is 652458.

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 (30).

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, 23087982 + ... + 23088018.

Almost surely, 2^854256000 is an apocalyptic number.

854256000 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 854256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567172880).

854256000 is an abundant number, since it is smaller than the sum of its proper divisors (2280089760).

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

854256000 is a wasteful number, since it uses less digits than its factorization.

854256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 854256000 is about 29227.6581340346. The cubic root of 854256000 is about 948.8466150280.

The spelling of 854256000 in words is "eight hundred fifty-four million, two hundred fifty-six thousand".