852734400 has 336 divisors, whose sum is σ = 3280623360. Its totient is φ = 189849600.

The previous prime is 852734387. The next prime is 852734411. The reversal of 852734400 is 4437258.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377291 + ... + 1377909.

It is an arithmetic number, because the mean of its divisors is an integer number (9763760).

Almost surely, 2^852734400 is an apocalyptic number.

852734400 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 852734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640311680).

852734400 is an abundant number, since it is smaller than the sum of its proper divisors (2427888960).

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

852734400 is a wasteful number, since it uses less digits than its factorization.

852734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 852734400 is about 29201.6163936177. The cubic root of 852734400 is about 948.2829186381.

The spelling of 852734400 in words is "eight hundred fifty-two million, seven hundred thirty-four thousand, four hundred".