856301400 has 216 divisors, whose sum is σ = 2958011940. Its totient is φ = 221990400.

The previous prime is 856301371. The next prime is 856301401. The reversal of 856301400 is 4103658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856301401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3025659 + ... + 3025941.

Almost surely, 2^856301400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479005970).

856301400 is an abundant number, since it is smaller than the sum of its proper divisors (2101710540).

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

856301400 is a wasteful number, since it uses less digits than its factorization.

856301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 856301400 is about 29262.6280432910. The cubic root of 856301400 is about 949.6033062122.

The spelling of 856301400 in words is "eight hundred fifty-six million, three hundred one thousand, four hundred".