4287600 has 120 divisors (see below), whose sum is σ = 15299120. Its totient is φ = 1140480.

The previous prime is 4287599. The next prime is 4287601. The reversal of 4287600 is 67824.

It is an interprime number because it is at equal distance from previous prime (4287599) and next prime (4287601).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10602 + ... + 10998.

Almost surely, 2^4287600 is an apocalyptic number.

4287600 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 4287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649560).

4287600 is an abundant number, since it is smaller than the sum of its proper divisors (11011520).

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

4287600 is a wasteful number, since it uses less digits than its factorization.

4287600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4287600 is about 2070.6520712085. The cubic root of 4287600 is about 162.4568721840.

The spelling of 4287600 in words is "four million, two hundred eighty-seven thousand, six hundred".