4288400 has 60 divisors (see below), whose sum is σ = 10517184. Its totient is φ = 1680000.

The previous prime is 4288397. The next prime is 4288439. The reversal of 4288400 is 48824.

It is a self number, because there is not a number n which added to its sum of digits gives 4288400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28325 + ... + 28475.

Almost surely, 2^4288400 is an apocalyptic number.

4288400 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 4288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258592).

4288400 is an abundant number, since it is smaller than the sum of its proper divisors (6228784).

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

4288400 is a wasteful number, since it uses less digits than its factorization.

4288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4288400 is about 2070.8452380610. The cubic root of 4288400 is about 162.4669755375.

The spelling of 4288400 in words is "four million, two hundred eighty-eight thousand, four hundred".