4288900 has 72 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 1334400.

The previous prime is 4288883. The next prime is 4288901. The reversal of 4288900 is 98824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288901) 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, 7422 + ... + 7978.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^4288900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

4288900 is an abundant number, since it is smaller than the sum of its proper divisors (7335356).

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

4288900 is a wasteful number, since it uses less digits than its factorization.

4288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4288900 is about 2070.9659581944. The cubic root of 4288900 is about 162.4732894954.

The spelling of 4288900 in words is "four million, two hundred eighty-eight thousand, nine hundred".