4764500 has 48 divisors (see below), whose sum is σ = 11221392. Its totient is φ = 1756800.

The previous prime is 4764493. The next prime is 4764509. The reversal of 4764500 is 54674.

It can be written as a sum of positive squares in 8 ways, for example, as 1024144 + 3740356 = 1012^2 + 1934^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 13.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 4764500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764509) 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, 6134 + ... + 6866.

It is an arithmetic number, because the mean of its divisors is an integer number (233779).

Almost surely, 2^4764500 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 4764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610696).

4764500 is an abundant number, since it is smaller than the sum of its proper divisors (6456892).

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

4764500 is a wasteful number, since it uses less digits than its factorization.

4764500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4764500 is about 2182.7734651127. The cubic root of 4764500 is about 168.2696444574.

The spelling of 4764500 in words is "four million, seven hundred sixty-four thousand, five hundred".