852396480 has 224 divisors, whose sum is σ = 3238804800. Its totient is φ = 209793024.

The previous prime is 852396463. The next prime is 852396481. The reversal of 852396480 is 84693258.

852396480 is a `hidden beast` number, since 85 + 2 + 3 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852396481) 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 31 ways as a sum of consecutive naturals, for example, 108526 + ... + 116114.

It is an arithmetic number, because the mean of its divisors is an integer number (14458950).

Almost surely, 2^852396480 is an apocalyptic number.

852396480 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 852396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619402400).

852396480 is an abundant number, since it is smaller than the sum of its proper divisors (2386408320).

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

852396480 is a wasteful number, since it uses less digits than its factorization.

852396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 852396480 is about 29195.8298392082. The cubic root of 852396480 is about 948.1576408253.

It can be divided in two parts, 85239 and 6480, that added together give a palindrome (91719).

The spelling of 852396480 in words is "eight hundred fifty-two million, three hundred ninety-six thousand, four hundred eighty".