685285952400 has 1215 divisors, whose sum is σ = 2912543649171. Its totient is φ = 154491079680.

The previous prime is 685285952383. The next prime is 685285952419. The reversal of 685285952400 is 4259582586.

The square root of 685285952400 is 827820.

It is a perfect power (a square), and thus also a powerful number.

685285952400 is a `hidden beast` number, since 6 + 8 + 5 + 2 + 8 + 595 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3749847696 + 681536104704 = 61236^2 + 825552^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9387478764 + ... + 9387478836.

Almost surely, 2^685285952400 is an apocalyptic number.

685285952400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

685285952400 is the 827820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685285952400

685285952400 is an abundant number, since it is smaller than the sum of its proper divisors (2227257696771).

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

685285952400 is an frugal number, since it uses more digits than its factorization.

685285952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 685285952400 in words is "six hundred eighty-five billion, two hundred eighty-five million, nine hundred fifty-two thousand, four hundred".