852668400 has 60 divisors (see below), whose sum is σ = 2731384952. Its totient is φ = 227377920.

The previous prime is 852668381. The next prime is 852668429. The reversal of 852668400 is 4866258.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354079 + ... + 356478.

Almost surely, 2^852668400 is an apocalyptic number.

852668400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852668400 is an abundant number, since it is smaller than the sum of its proper divisors (1878716552).

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

852668400 is a wasteful number, since it uses less digits than its factorization.

852668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710578 (or 710567 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 852668400 is about 29200.4862973205. The cubic root of 852668400 is about 948.2584529165.

The spelling of 852668400 in words is "eight hundred fifty-two million, six hundred sixty-eight thousand, four hundred".