4279200 has 72 divisors (see below), whose sum is σ = 13936608. Its totient is φ = 1140480.

The previous prime is 4279159. The next prime is 4279201. The reversal of 4279200 is 29724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4279201) 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, 1509 + ... + 3291.

It is an arithmetic number, because the mean of its divisors is an integer number (193564).

Almost surely, 2^4279200 is an apocalyptic number.

4279200 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 4279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968304).

4279200 is an abundant number, since it is smaller than the sum of its proper divisors (9657408).

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

4279200 is a wasteful number, since it uses less digits than its factorization.

4279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4279200 is about 2068.6227302241. The cubic root of 4279200 is about 162.3507110162.

The spelling of 4279200 in words is "four million, two hundred seventy-nine thousand, two hundred".