856254240 has 192 divisors, whose sum is σ = 3035128320. Its totient is φ = 228241152.

The previous prime is 856254239. The next prime is 856254241. The reversal of 856254240 is 42452658.

It is a happy number.

856254240 is a `hidden beast` number, since 8 + 5 + 625 + 4 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (856254239) and next prime (856254241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 856254195 and 856254204.

It is not an unprimeable number, because it can be changed into a prime (856254241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348697 + ... + 351143.

It is an arithmetic number, because the mean of its divisors is an integer number (15807960).

Almost surely, 2^856254240 is an apocalyptic number.

856254240 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 856254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517564160).

856254240 is an abundant number, since it is smaller than the sum of its proper divisors (2178874080).

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

856254240 is an equidigital number, since it uses as much as digits as its factorization.

856254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 856254240 is about 29261.8222262387. The cubic root of 856254240 is about 949.5858730537.

The spelling of 856254240 in words is "eight hundred fifty-six million, two hundred fifty-four thousand, two hundred forty".