853332480 has 960 divisors, whose sum is σ = 4075239168. Its totient is φ = 159252480.

The previous prime is 853332451. The next prime is 853332509. The reversal of 853332480 is 84233358.

853332480 is a `hidden beast` number, since 85 + 333 + 248 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (853332451) and next prime (853332509).

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 23063022 + ... + 23063058.

Almost surely, 2^853332480 is an apocalyptic number.

853332480 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 853332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037619584).

853332480 is an abundant number, since it is smaller than the sum of its proper divisors (3221906688).

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

853332480 is a wasteful number, since it uses less digits than its factorization.

853332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

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

The square root of 853332480 is about 29211.8551276703. The cubic root of 853332480 is about 948.5045650290.

It can be divided in two parts, 853 and 332480, that added together give a palindrome (333333).

The spelling of 853332480 in words is "eight hundred fifty-three million, three hundred thirty-two thousand, four hundred eighty".