853338240 has 448 divisors, whose sum is σ = 3210796800. Its totient is φ = 216483840.

The previous prime is 853338229. The next prime is 853338247. The reversal of 853338240 is 42833358.

853338240 is a `hidden beast` number, since 8 + 533 + 3 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 853338195 and 853338204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853338247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14463331 + ... + 14463389.

Almost surely, 2^853338240 is an apocalyptic number.

853338240 is a gapful number since it is divisible by the number (80) 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 853338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605398400).

853338240 is an abundant number, since it is smaller than the sum of its proper divisors (2357458560).

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

853338240 is an equidigital number, since it uses as much as digits as its factorization.

853338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 853338240 is about 29211.9537176136. The cubic root of 853338240 is about 948.5066991616.

The spelling of 853338240 in words is "eight hundred fifty-three million, three hundred thirty-eight thousand, two hundred forty".