853440000 has 400 divisors, whose sum is σ = 3272552448. Its totient is φ = 193536000.

The previous prime is 853439999. The next prime is 853440067. The reversal of 853440000 is 44358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719937 + ... + 6720063.

Almost surely, 2^853440000 is an apocalyptic number.

853440000 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 853440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636276224).

853440000 is an abundant number, since it is smaller than the sum of its proper divisors (2419112448).

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

853440000 is an equidigital number, since it uses as much as digits as its factorization.

853440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 853440000 is about 29213.6954184163. The cubic root of 853440000 is about 948.5444005875.

Adding to 853440000 its reverse (44358), we get a palindrome (853484358).

The spelling of 853440000 in words is "eight hundred fifty-three million, four hundred forty thousand".