4656240 has 120 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1193472.

The previous prime is 4656229. The next prime is 4656241. The reversal of 4656240 is 426564.

It is a happy number.

4656240 is a `hidden beast` number, since 4 + 656 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656241) 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, 20769 + ... + 20991.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^4656240 is an apocalyptic number.

4656240 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 4656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4656240 is an abundant number, since it is smaller than the sum of its proper divisors (11592720).

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

4656240 is a wasteful number, since it uses less digits than its factorization.

4656240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4656240 is about 2157.8322455650. The cubic root of 4656240 is about 166.9853812487.

The spelling of 4656240 in words is "four million, six hundred fifty-six thousand, two hundred forty".