852898410 has 576 divisors, whose sum is σ = 3137097600. Its totient is φ = 164602368.

The previous prime is 852898379. The next prime is 852898411. The reversal of 852898410 is 14898258.

It is a happy number.

852898410 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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852898411) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29410276 + ... + 29410304.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2^852898410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852898410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548800).

852898410 is an abundant number, since it is smaller than the sum of its proper divisors (2284199190).

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

852898410 is a wasteful number, since it uses less digits than its factorization.

852898410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 852898410 is about 29204.4244935592. The cubic root of 852898410 is about 948.3437104905.

The spelling of 852898410 in words is "eight hundred fifty-two million, eight hundred ninety-eight thousand, four hundred ten".