4288800 has 72 divisors (see below), whose sum is σ = 13967856. Its totient is φ = 1143040.

The previous prime is 4288799. The next prime is 4288807. The reversal of 4288800 is 88824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4288807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1507 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (193998).

Almost surely, 2^4288800 is an apocalyptic number.

4288800 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 4288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983928).

4288800 is an abundant number, since it is smaller than the sum of its proper divisors (9679056).

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

4288800 is a wasteful number, since it uses less digits than its factorization.

4288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4288800 is about 2070.9418147307. The cubic root of 4288800 is about 162.4720267431.

The spelling of 4288800 in words is "four million, two hundred eighty-eight thousand, eight hundred".