4656000 has 128 divisors (see below), whose sum is σ = 15593760. Its totient is φ = 1228800.

The previous prime is 4655971. The next prime is 4656053. The reversal of 4656000 is 6564.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47952 + ... + 48048.

Almost surely, 2^4656000 is an apocalyptic number.

4656000 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 4656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796880).

4656000 is an abundant number, since it is smaller than the sum of its proper divisors (10937760).

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

4656000 is an equidigital number, since it uses as much as digits as its factorization.

4656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4656000 is about 2157.7766334818. The cubic root of 4656000 is about 166.9825121827.

The spelling of 4656000 in words is "four million, six hundred fifty-six thousand".