856455600 has 960 divisors, whose sum is σ = 3967746048. Its totient is φ = 152064000.

The previous prime is 856455527. The next prime is 856455661. The reversal of 856455600 is 6554658.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27627585 + ... + 27627615.

Almost surely, 2^856455600 is an apocalyptic number.

856455600 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 856455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983873024).

856455600 is an abundant number, since it is smaller than the sum of its proper divisors (3111290448).

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

856455600 is a wasteful number, since it uses less digits than its factorization.

856455600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 856455600 is about 29265.2626846232. The cubic root of 856455600 is about 949.6603032933.

The spelling of 856455600 in words is "eight hundred fifty-six million, four hundred fifty-five thousand, six hundred".