685202400 has 216 divisors, whose sum is σ = 2458670760. Its totient is φ = 179512320.

The previous prime is 685202389. The next prime is 685202411. The reversal of 685202400 is 4202586.

It is an interprime number because it is at equal distance from previous prime (685202389) and next prime (685202411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 423994 + ... + 425606.

It is an arithmetic number, because the mean of its divisors is an integer number (11382735).

Almost surely, 2^685202400 is an apocalyptic number.

685202400 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 685202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229335380).

685202400 is an abundant number, since it is smaller than the sum of its proper divisors (1773468360).

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

685202400 is a wasteful number, since it uses less digits than its factorization.

685202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 685202400 is about 26176.3710242654. The cubic root of 685202400 is about 881.6027952169.

Adding to 685202400 its reverse (4202586), we get a palindrome (689404986).

The spelling of 685202400 in words is "six hundred eighty-five million, two hundred two thousand, four hundred".