853424208 has 320 divisors, whose sum is σ = 3194795520. Its totient is φ = 211673088.

The previous prime is 853424183. The next prime is 853424213. The reversal of 853424208 is 802424358.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667666 + ... + 668942.

It is an arithmetic number, because the mean of its divisors is an integer number (9983736).

Almost surely, 2^853424208 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 853424208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597397760).

853424208 is an abundant number, since it is smaller than the sum of its proper divisors (2341371312).

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

853424208 is a wasteful number, since it uses less digits than its factorization.

853424208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 853424208 is about 29213.4251329761. The cubic root of 853424208 is about 948.5385499494.

The spelling of 853424208 in words is "eight hundred fifty-three million, four hundred twenty-four thousand, two hundred eight".