4864000 has 96 divisors (see below), whose sum is σ = 12776400. Its totient is φ = 1843200.

The previous prime is 4863979. The next prime is 4864003. The reversal of 4864000 is 4684.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255991 + ... + 256009.

Almost surely, 2^4864000 is an apocalyptic number.

4864000 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 4864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388200).

4864000 is an abundant number, since it is smaller than the sum of its proper divisors (7912400).

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

4864000 is an equidigital number, since it uses as much as digits as its factorization.

4864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4864000 is about 2205.4478003344. The cubic root of 4864000 is about 169.4329433702.

Adding to 4864000 its reverse (4684), we get a palindrome (4868684).

The spelling of 4864000 in words is "four million, eight hundred sixty-four thousand".