685358400 has 336 divisors, whose sum is σ = 2455932096. Its totient is φ = 166625280.

The previous prime is 685358389. The next prime is 685358407. The reversal of 685358400 is 4853586.

It is a happy number.

It is a super-2 number, since 2×685358400² = 939432272901120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685358407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3019087 + ... + 3019313.

Almost surely, 2^685358400 is an apocalyptic number.

685358400 is a gapful number since it is divisible by the number (60) 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 685358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227966048).

685358400 is an abundant number, since it is smaller than the sum of its proper divisors (1770573696).

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

685358400 is a wasteful number, since it uses less digits than its factorization.

685358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 685358400 is about 26179.3506412974. The cubic root of 685358400 is about 881.6696949632.

The spelling of 685358400 in words is "six hundred eighty-five million, three hundred fifty-eight thousand, four hundred".