4268000 has 96 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 1536000.

The previous prime is 4267981. The next prime is 4268009. The reversal of 4268000 is 8624.

Added to its reverse (8624) it gives a square (4276624 = 2068²).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43952 + ... + 44048.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 2^4268000 is an apocalyptic number.

4268000 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 4268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

4268000 is an abundant number, since it is smaller than the sum of its proper divisors (7289728).

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

4268000 is a wasteful number, since it uses less digits than its factorization.

4268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4268000 is about 2065.9138413787. The cubic root of 4268000 is about 162.2089464612.

Adding to 4268000 its reverse (8624), we get a square (4276624 = 2068²).

The spelling of 4268000 in words is "four million, two hundred sixty-eight thousand".