853400520 has 192 divisors, whose sum is σ = 3188989440. Its totient is φ = 193881600.

The previous prime is 853400497. The next prime is 853400549. The reversal of 853400520 is 25004358.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455185 + ... + 457055.

It is an arithmetic number, because the mean of its divisors is an integer number (16609320).

Almost surely, 2^853400520 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 853400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594494720).

853400520 is an abundant number, since it is smaller than the sum of its proper divisors (2335588920).

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

853400520 is a wasteful number, since it uses less digits than its factorization.

853400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 853400520 is about 29213.0197001269. The cubic root of 853400520 is about 948.5297738571.

Adding to 853400520 its reverse (25004358), we get a palindrome (878404878).

The spelling of 853400520 in words is "eight hundred fifty-three million, four hundred thousand, five hundred twenty".