4768500 has 144 divisors (see below), whose sum is σ = 16091712. Its totient is φ = 1088000.

The previous prime is 4768493. The next prime is 4768501. The reversal of 4768500 is 58674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280492 + ... + 280508.

It is an arithmetic number, because the mean of its divisors is an integer number (111748).

Almost surely, 2^4768500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045856).

4768500 is an abundant number, since it is smaller than the sum of its proper divisors (11323212).

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

4768500 is a wasteful number, since it uses less digits than its factorization.

4768500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4768500 is about 2183.6895383731. The cubic root of 4768500 is about 168.3167211220.

The spelling of 4768500 in words is "four million, seven hundred sixty-eight thousand, five hundred".