852415488 has 220 divisors, whose sum is σ = 2615574720. Its totient is φ = 276369408.

The previous prime is 852415477. The next prime is 852415511. The reversal of 852415488 is 884514258.

852415488 is a `hidden beast` number, since 85 + 24 + 1 + 548 + 8 = 666.

It is a super-2 number, since 2×852415488² = 1453224328364556288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3566473 + ... + 3566711.

It is an arithmetic number, because the mean of its divisors is an integer number (11888976).

Almost surely, 2^852415488 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 852415488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307787360).

852415488 is an abundant number, since it is smaller than the sum of its proper divisors (1763159232).

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

852415488 is a wasteful number, since it uses less digits than its factorization.

852415488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 852415488 is about 29196.1553633351. The cubic root of 852415488 is about 948.1646885810.

The spelling of 852415488 in words is "eight hundred fifty-two million, four hundred fifteen thousand, four hundred eighty-eight".