851406900 has 36 divisors (see below), whose sum is σ = 2463404832. Its totient is φ = 227041760.

The previous prime is 851406887. The next prime is 851406901. The reversal of 851406900 is 9604158.

It is a super-3 number, since 3×851406900³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851406901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1418712 + ... + 1419311.

It is an arithmetic number, because the mean of its divisors is an integer number (68427912).

Almost surely, 2^851406900 is an apocalyptic number.

It is an amenable number.

851406900 is an abundant number, since it is smaller than the sum of its proper divisors (1611997932).

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

851406900 is a wasteful number, since it uses less digits than its factorization.

851406900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838040 (or 2838033 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 851406900 is about 29178.8776343436. The cubic root of 851406900 is about 947.7905811339.

The spelling of 851406900 in words is "eight hundred fifty-one million, four hundred six thousand, nine hundred".