4682000 has 40 divisors (see below), whose sum is σ = 11325912. Its totient is φ = 1872000.

The previous prime is 4681997. The next prime is 4682003. The reversal of 4682000 is 2864.

It is an interprime number because it is at equal distance from previous prime (4681997) and next prime (4682003).

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 4596736 = 292^2 + 2144^2 .

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

It is a super-2 number, since 2×4682000² = 43842248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4682003) 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, 830 + ... + 3170.

Almost surely, 2^4682000 is an apocalyptic number.

4682000 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 4682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662956).

4682000 is an abundant number, since it is smaller than the sum of its proper divisors (6643912).

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

4682000 is a wasteful number, since it uses less digits than its factorization.

4682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4682000 is about 2163.7929660668. The cubic root of 4682000 is about 167.2927562372.

Adding to 4682000 its reverse (2864), we get a palindrome (4684864).

The spelling of 4682000 in words is "four million, six hundred eighty-two thousand".