4286800 has 60 divisors (see below), whose sum is σ = 11778016. Its totient is φ = 1468800.

The previous prime is 4286753. The next prime is 4286801. The reversal of 4286800 is 86824.

4286800 = T₁₂₈ + T₁₂₉ + ... + T₃₀₂.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2035 + ... + 3565.

Almost surely, 2^4286800 is an apocalyptic number.

4286800 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 4286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889008).

4286800 is an abundant number, since it is smaller than the sum of its proper divisors (7491216).

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

4286800 is a wasteful number, since it uses less digits than its factorization.

4286800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4286800 is about 2070.4588863341. The cubic root of 4286800 is about 162.4467675737.

The spelling of 4286800 in words is "four million, two hundred eighty-six thousand, eight hundred".