853802496 has 240 divisors, whose sum is σ = 2621498880. Its totient is φ = 267079680.

The previous prime is 853802489. The next prime is 853802549. The reversal of 853802496 is 694208358.

853802496 is a `hidden beast` number, since 8 + 538 + 0 + 24 + 96 = 666.

853802496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6142395 + ... + 6142533.

It is an arithmetic number, because the mean of its divisors is an integer number (10922912).

Almost surely, 2^853802496 is an apocalyptic number.

853802496 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853802496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310749440).

853802496 is an abundant number, since it is smaller than the sum of its proper divisors (1767696384).

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

853802496 is a wasteful number, since it uses less digits than its factorization.

853802496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 853802496 is about 29219.8989731313. The cubic root of 853802496 is about 948.6786786778.

The spelling of 853802496 in words is "eight hundred fifty-three million, eight hundred two thousand, four hundred ninety-six".