685392400 has 405 divisors, whose sum is σ = 2236599687. Its totient is φ = 201062400.

The previous prime is 685392371. The next prime is 685392413. The reversal of 685392400 is 4293586.

The square root of 685392400 is 26180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16032016 + 669360384 = 4004^2 + 25872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 685392400.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40317192 + ... + 40317208.

Almost surely, 2^685392400 is an apocalyptic number.

685392400 is the 26180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685392400

685392400 is an abundant number, since it is smaller than the sum of its proper divisors (1551207287).

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

685392400 is a wasteful number, since it uses less digits than its factorization.

685392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The cubic root of 685392400 is about 881.6842743297.

The spelling of 685392400 in words is "six hundred eighty-five million, three hundred ninety-two thousand, four hundred".