851015400 has 96 divisors (see below), whose sum is σ = 2648669760. Its totient is φ = 226032640.

The previous prime is 851015309. The next prime is 851015401. The reversal of 851015400 is 4510158.

It is a super-2 number, since 2×851015400² = 1448454422074320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (851015401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155104 + ... + 160496.

It is an arithmetic number, because the mean of its divisors is an integer number (27590310).

Almost surely, 2^851015400 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 851015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324334880).

851015400 is an abundant number, since it is smaller than the sum of its proper divisors (1797654360).

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

851015400 is a wasteful number, since it uses less digits than its factorization.

851015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 851015400 is about 29172.1682430360. The cubic root of 851015400 is about 947.6452855838.

Adding to 851015400 its reverse (4510158), we get a palindrome (855525558).

The spelling of 851015400 in words is "eight hundred fifty-one million, fifteen thousand, four hundred".