4786000 has 40 divisors (see below), whose sum is σ = 11577384. Its totient is φ = 1913600.

The previous prime is 4785961. The next prime is 4786007. The reversal of 4786000 is 6874.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 3549456 = 1112^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4786007) 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, 804 + ... + 3196.

Almost surely, 2^4786000 is an apocalyptic number.

4786000 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 4786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788692).

4786000 is an abundant number, since it is smaller than the sum of its proper divisors (6791384).

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

4786000 is a wasteful number, since it uses less digits than its factorization.

4786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4786000 is about 2187.6928486421. The cubic root of 4786000 is about 168.5223725602.

Adding to 4786000 its product of nonzero digits (1344), we get a square (4787344 = 2188²).

The spelling of 4786000 in words is "four million, seven hundred eighty-six thousand".