4685400 has 144 divisors (see below), whose sum is σ = 16684200. Its totient is φ = 1175040.

The previous prime is 4685393. The next prime is 4685407. The reversal of 4685400 is 45864.

It is an interprime number because it is at equal distance from previous prime (4685393) and next prime (4685407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4685407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34132 + ... + 34268.

Almost surely, 2^4685400 is an apocalyptic number.

4685400 is a gapful number since it is divisible by the number (40) 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 4685400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342100).

4685400 is an abundant number, since it is smaller than the sum of its proper divisors (11998800).

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

4685400 is a wasteful number, since it uses less digits than its factorization.

4685400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

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

The square root of 4685400 is about 2164.5784809057. The cubic root of 4685400 is about 167.3332416240. Note that the first 3 decimals are identical.

The spelling of 4685400 in words is "four million, six hundred eighty-five thousand, four hundred".