853406440 has 72 divisors (see below), whose sum is σ = 1997508870. Its totient is φ = 328133760.

The previous prime is 853406429. The next prime is 853406479. The reversal of 853406440 is 44604358.

It can be written as a sum of positive squares in 3 ways, for example, as 330003556 + 523402884 = 18166^2 + 22878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 853406396 and 853406405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5727486 + ... + 5727634.

Almost surely, 2^853406440 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 853406440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998754435).

853406440 is an abundant number, since it is smaller than the sum of its proper divisors (1144102430).

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

853406440 is a wasteful number, since it uses less digits than its factorization.

853406440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 853406440 is about 29213.1210246355. The cubic root of 853406440 is about 948.5319671544.

The spelling of 853406440 in words is "eight hundred fifty-three million, four hundred six thousand, four hundred forty".