852084480 has 288 divisors, whose sum is σ = 2977208640. Its totient is φ = 207667200.

The previous prime is 852084451. The next prime is 852084491. The reversal of 852084480 is 84480258.

It is a super-2 number, since 2×852084480² = 1452095922113740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8436430 + ... + 8436530.

It is an arithmetic number, because the mean of its divisors is an integer number (10337530).

Almost surely, 2^852084480 is an apocalyptic number.

852084480 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 852084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488604320).

852084480 is an abundant number, since it is smaller than the sum of its proper divisors (2125124160).

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

852084480 is a wasteful number, since it uses less digits than its factorization.

852084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 852084480 is about 29190.4861213375. The cubic root of 852084480 is about 948.0419429893.

The spelling of 852084480 in words is "eight hundred fifty-two million, eighty-four thousand, four hundred eighty".