685418400 has 216 divisors, whose sum is σ = 2522651040. Its totient is φ = 174789120.

The previous prime is 685418381. The next prime is 685418411. The reversal of 685418400 is 4814586.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 163531 + ... + 167669.

It is an arithmetic number, because the mean of its divisors is an integer number (11678940).

Almost surely, 2^685418400 is an apocalyptic number.

685418400 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 685418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261325520).

685418400 is an abundant number, since it is smaller than the sum of its proper divisors (1837232640).

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

685418400 is a wasteful number, since it uses less digits than its factorization.

685418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 685418400 is about 26180.4965575522. The cubic root of 685418400 is about 881.6954229317.

The spelling of 685418400 in words is "six hundred eighty-five million, four hundred eighteen thousand, four hundred".