4268800 has 108 divisors (see below), whose sum is σ = 11405520. Its totient is φ = 1576960.

The previous prime is 4268791. The next prime is 4268809. The reversal of 4268800 is 88624.

4268800 = T₃₉ + T₄₀ + ... + T₂₉₄.

It is an interprime number because it is at equal distance from previous prime (4268791) and next prime (4268809).

It is a super-3 number, since 3×4268800³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4268809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147186 + ... + 147214.

Almost surely, 2^4268800 is an apocalyptic number.

4268800 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 4268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702760).

4268800 is an abundant number, since it is smaller than the sum of its proper divisors (7136720).

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

4268800 is a wasteful number, since it uses less digits than its factorization.

4268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

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

The square root of 4268800 is about 2066.1074512232. The cubic root of 4268800 is about 162.2190807201.

The spelling of 4268800 in words is "four million, two hundred sixty-eight thousand, eight hundred".