852629504 has 72 divisors (see below), whose sum is σ = 1784453580. Its totient is φ = 407261184.

The previous prime is 852629467. The next prime is 852629507. The reversal of 852629504 is 405926258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852629507) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1082999 + ... + 1083785.

Almost surely, 2^852629504 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 852629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892226790).

852629504 is an abundant number, since it is smaller than the sum of its proper divisors (931824076).

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

852629504 is an equidigital number, since it uses as much as digits as its factorization.

852629504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 852629504 is about 29199.8202734195. The cubic root of 852629504 is about 948.2440338599.

The spelling of 852629504 in words is "eight hundred fifty-two million, six hundred twenty-nine thousand, five hundred four".