4612000 has 48 divisors (see below), whose sum is σ = 11341512. Its totient is φ = 1843200.

The previous prime is 4611991. The next prime is 4612001. The reversal of 4612000 is 2164.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 2572816 = 1428^2 + 1604^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4612001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3424 + ... + 4576.

Almost surely, 2^4612000 is an apocalyptic number.

4612000 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 4612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670756).

4612000 is an abundant number, since it is smaller than the sum of its proper divisors (6729512).

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

4612000 is a wasteful number, since it uses less digits than its factorization.

4612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4612000 is about 2147.5567512874. The cubic root of 4612000 is about 166.4548420070.

Adding to 4612000 its reverse (2164), we get a palindrome (4614164).

The spelling of 4612000 in words is "four million, six hundred twelve thousand".