852387480 has 384 divisors, whose sum is σ = 3402622080. Its totient is φ = 180633600.

The previous prime is 852387469. The next prime is 852387509. The reversal of 852387480 is 84783258.

852387480 is a `hidden beast` number, since 8 + 523 + 87 + 48 + 0 = 666.

852387480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 4326742 + ... + 4326938.

It is an arithmetic number, because the mean of its divisors is an integer number (8860995).

Almost surely, 2^852387480 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 852387480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701311040).

852387480 is an abundant number, since it is smaller than the sum of its proper divisors (2550234600).

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

852387480 is a wasteful number, since it uses less digits than its factorization.

852387480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 852387480 is about 29195.6757072002. The cubic root of 852387480 is about 948.1543037832.

The spelling of 852387480 in words is "eight hundred fifty-two million, three hundred eighty-seven thousand, four hundred eighty".