853457796 has 63 divisors (see below), whose sum is σ = 2243449173. Its totient is φ = 283960080.

The previous prime is 853457779. The next prime is 853457821. The reversal of 853457796 is 697754358.

The square root of 853457796 is 29214.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 339075396 + 514382400 = 18414^2 + 22680^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 1577286 + ... + 1577826.

Almost surely, 2^853457796 is an apocalyptic number.

853457796 is the 29214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853457796

853457796 is an abundant number, since it is smaller than the sum of its proper divisors (1389991377).

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

853457796 is an frugal number, since it uses more digits than its factorization.

853457796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 546 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The cubic root of 853457796 is about 948.5509935832.

The spelling of 853457796 in words is "eight hundred fifty-three million, four hundred fifty-seven thousand, seven hundred ninety-six".